What is the Least Common Multiple of 56615 and 56627?
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 56615 and 56627 is 3205937605.
LCM(56615,56627) = 3205937605
Least Common Multiple of 56615 and 56627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56615 and 56627, than apply into the LCM equation.
GCF(56615,56627) = 1
LCM(56615,56627) = ( 56615 × 56627) / 1
LCM(56615,56627) = 3205937605 / 1
LCM(56615,56627) = 3205937605
Least Common Multiple (LCM) of 56615 and 56627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56615 and 56627. First we will calculate the prime factors of 56615 and 56627.
Prime Factorization of 56615
Prime factors of 56615 are 5, 13, 67. Prime factorization of 56615 in exponential form is:
56615 = 51 × 132 × 671
Prime Factorization of 56627
Prime factors of 56627 are 17, 3331. Prime factorization of 56627 in exponential form is:
56627 = 171 × 33311
Now multiplying the highest exponent prime factors to calculate the LCM of 56615 and 56627.
LCM(56615,56627) = 51 × 132 × 671 × 171 × 33311
LCM(56615,56627) = 3205937605
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