What is the Least Common Multiple of 56627 and 56631?
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 56627 and 56631 is 3206843637.
LCM(56627,56631) = 3206843637
Least Common Multiple of 56627 and 56631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56627 and 56631, than apply into the LCM equation.
GCF(56627,56631) = 1
LCM(56627,56631) = ( 56627 × 56631) / 1
LCM(56627,56631) = 3206843637 / 1
LCM(56627,56631) = 3206843637
Least Common Multiple (LCM) of 56627 and 56631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56627 and 56631. First we will calculate the prime factors of 56627 and 56631.
Prime Factorization of 56627
Prime factors of 56627 are 17, 3331. Prime factorization of 56627 in exponential form is:
56627 = 171 × 33311
Prime Factorization of 56631
Prime factors of 56631 are 3, 43, 439. Prime factorization of 56631 in exponential form is:
56631 = 31 × 431 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 56627 and 56631.
LCM(56627,56631) = 171 × 33311 × 31 × 431 × 4391
LCM(56627,56631) = 3206843637
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