What is the Least Common Multiple of 33748 and 33754?
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 33748 and 33754 is 569564996.
LCM(33748,33754) = 569564996
Least Common Multiple of 33748 and 33754 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33748 and 33754, than apply into the LCM equation.
GCF(33748,33754) = 2
LCM(33748,33754) = ( 33748 × 33754) / 2
LCM(33748,33754) = 1139129992 / 2
LCM(33748,33754) = 569564996
Least Common Multiple (LCM) of 33748 and 33754 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33748 and 33754. First we will calculate the prime factors of 33748 and 33754.
Prime Factorization of 33748
Prime factors of 33748 are 2, 11, 13, 59. Prime factorization of 33748 in exponential form is:
33748 = 22 × 111 × 131 × 591
Prime Factorization of 33754
Prime factors of 33754 are 2, 7, 2411. Prime factorization of 33754 in exponential form is:
33754 = 21 × 71 × 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 33748 and 33754.
LCM(33748,33754) = 22 × 111 × 131 × 591 × 71 × 24111
LCM(33748,33754) = 569564996
Related Least Common Multiples of 33748
- LCM of 33748 and 33752
- LCM of 33748 and 33753
- LCM of 33748 and 33754
- LCM of 33748 and 33755
- LCM of 33748 and 33756
- LCM of 33748 and 33757
- LCM of 33748 and 33758
- LCM of 33748 and 33759
- LCM of 33748 and 33760
- LCM of 33748 and 33761
- LCM of 33748 and 33762
- LCM of 33748 and 33763
- LCM of 33748 and 33764
- LCM of 33748 and 33765
- LCM of 33748 and 33766
- LCM of 33748 and 33767
- LCM of 33748 and 33768
Related Least Common Multiples of 33754
- LCM of 33754 and 33758
- LCM of 33754 and 33759
- LCM of 33754 and 33760
- LCM of 33754 and 33761
- LCM of 33754 and 33762
- LCM of 33754 and 33763
- LCM of 33754 and 33764
- LCM of 33754 and 33765
- LCM of 33754 and 33766
- LCM of 33754 and 33767
- LCM of 33754 and 33768
- LCM of 33754 and 33769
- LCM of 33754 and 33770
- LCM of 33754 and 33771
- LCM of 33754 and 33772
- LCM of 33754 and 33773
- LCM of 33754 and 33774