What is the Least Common Multiple of 68696 and 68700?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 68696 and 68700 is 1179853800.
LCM(68696,68700) = 1179853800
Least Common Multiple of 68696 and 68700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68696 and 68700, than apply into the LCM equation.
GCF(68696,68700) = 4
LCM(68696,68700) = ( 68696 × 68700) / 4
LCM(68696,68700) = 4719415200 / 4
LCM(68696,68700) = 1179853800
Least Common Multiple (LCM) of 68696 and 68700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68696 and 68700. First we will calculate the prime factors of 68696 and 68700.
Prime Factorization of 68696
Prime factors of 68696 are 2, 31, 277. Prime factorization of 68696 in exponential form is:
68696 = 23 × 311 × 2771
Prime Factorization of 68700
Prime factors of 68700 are 2, 3, 5, 229. Prime factorization of 68700 in exponential form is:
68700 = 22 × 31 × 52 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 68696 and 68700.
LCM(68696,68700) = 23 × 311 × 2771 × 31 × 52 × 2291
LCM(68696,68700) = 1179853800
Related Least Common Multiples of 68696
- LCM of 68696 and 68700
- LCM of 68696 and 68701
- LCM of 68696 and 68702
- LCM of 68696 and 68703
- LCM of 68696 and 68704
- LCM of 68696 and 68705
- LCM of 68696 and 68706
- LCM of 68696 and 68707
- LCM of 68696 and 68708
- LCM of 68696 and 68709
- LCM of 68696 and 68710
- LCM of 68696 and 68711
- LCM of 68696 and 68712
- LCM of 68696 and 68713
- LCM of 68696 and 68714
- LCM of 68696 and 68715
- LCM of 68696 and 68716
Related Least Common Multiples of 68700
- LCM of 68700 and 68704
- LCM of 68700 and 68705
- LCM of 68700 and 68706
- LCM of 68700 and 68707
- LCM of 68700 and 68708
- LCM of 68700 and 68709
- LCM of 68700 and 68710
- LCM of 68700 and 68711
- LCM of 68700 and 68712
- LCM of 68700 and 68713
- LCM of 68700 and 68714
- LCM of 68700 and 68715
- LCM of 68700 and 68716
- LCM of 68700 and 68717
- LCM of 68700 and 68718
- LCM of 68700 and 68719
- LCM of 68700 and 68720