What is the Least Common Multiple of 56562 and 56572?
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 56562 and 56572 is 1599912732.
LCM(56562,56572) = 1599912732
Least Common Multiple of 56562 and 56572 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56562 and 56572, than apply into the LCM equation.
GCF(56562,56572) = 2
LCM(56562,56572) = ( 56562 × 56572) / 2
LCM(56562,56572) = 3199825464 / 2
LCM(56562,56572) = 1599912732
Least Common Multiple (LCM) of 56562 and 56572 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56562 and 56572. First we will calculate the prime factors of 56562 and 56572.
Prime Factorization of 56562
Prime factors of 56562 are 2, 3, 11, 857. Prime factorization of 56562 in exponential form is:
56562 = 21 × 31 × 111 × 8571
Prime Factorization of 56572
Prime factors of 56572 are 2, 14143. Prime factorization of 56572 in exponential form is:
56572 = 22 × 141431
Now multiplying the highest exponent prime factors to calculate the LCM of 56562 and 56572.
LCM(56562,56572) = 22 × 31 × 111 × 8571 × 141431
LCM(56562,56572) = 1599912732
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