What is the Least Common Multiple of 56672 and 56691?
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 56672 and 56691 is 3212792352.
LCM(56672,56691) = 3212792352
Least Common Multiple of 56672 and 56691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56672 and 56691, than apply into the LCM equation.
GCF(56672,56691) = 1
LCM(56672,56691) = ( 56672 × 56691) / 1
LCM(56672,56691) = 3212792352 / 1
LCM(56672,56691) = 3212792352
Least Common Multiple (LCM) of 56672 and 56691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56672 and 56691. First we will calculate the prime factors of 56672 and 56691.
Prime Factorization of 56672
Prime factors of 56672 are 2, 7, 11, 23. Prime factorization of 56672 in exponential form is:
56672 = 25 × 71 × 111 × 231
Prime Factorization of 56691
Prime factors of 56691 are 3, 6299. Prime factorization of 56691 in exponential form is:
56691 = 32 × 62991
Now multiplying the highest exponent prime factors to calculate the LCM of 56672 and 56691.
LCM(56672,56691) = 25 × 71 × 111 × 231 × 32 × 62991
LCM(56672,56691) = 3212792352
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