What is the Least Common Multiple of 70100 and 70108?
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 70100 and 70108 is 1228642700.
LCM(70100,70108) = 1228642700
Least Common Multiple of 70100 and 70108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70100 and 70108, than apply into the LCM equation.
GCF(70100,70108) = 4
LCM(70100,70108) = ( 70100 × 70108) / 4
LCM(70100,70108) = 4914570800 / 4
LCM(70100,70108) = 1228642700
Least Common Multiple (LCM) of 70100 and 70108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70100 and 70108. First we will calculate the prime factors of 70100 and 70108.
Prime Factorization of 70100
Prime factors of 70100 are 2, 5, 701. Prime factorization of 70100 in exponential form is:
70100 = 22 × 52 × 7011
Prime Factorization of 70108
Prime factors of 70108 are 2, 17, 1031. Prime factorization of 70108 in exponential form is:
70108 = 22 × 171 × 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 70100 and 70108.
LCM(70100,70108) = 22 × 52 × 7011 × 171 × 10311
LCM(70100,70108) = 1228642700
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