What is the Least Common Multiple of 56680 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 56680 and 56691 is 3213245880.
LCM(56680,56691) = 3213245880
Least Common Multiple of 56680 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 56680 and 56691, than apply into the LCM equation.
GCF(56680,56691) = 1
LCM(56680,56691) = ( 56680 × 56691) / 1
LCM(56680,56691) = 3213245880 / 1
LCM(56680,56691) = 3213245880
Least Common Multiple (LCM) of 56680 and 56691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56680 and 56691. First we will calculate the prime factors of 56680 and 56691.
Prime Factorization of 56680
Prime factors of 56680 are 2, 5, 13, 109. Prime factorization of 56680 in exponential form is:
56680 = 23 × 51 × 131 × 1091
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 56680 and 56691.
LCM(56680,56691) = 23 × 51 × 131 × 1091 × 32 × 62991
LCM(56680,56691) = 3213245880
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