What is the Least Common Multiple of 56656 and 56664?
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 56656 and 56664 is 401294448.
LCM(56656,56664) = 401294448
Least Common Multiple of 56656 and 56664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56656 and 56664, than apply into the LCM equation.
GCF(56656,56664) = 8
LCM(56656,56664) = ( 56656 × 56664) / 8
LCM(56656,56664) = 3210355584 / 8
LCM(56656,56664) = 401294448
Least Common Multiple (LCM) of 56656 and 56664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56656 and 56664. First we will calculate the prime factors of 56656 and 56664.
Prime Factorization of 56656
Prime factors of 56656 are 2, 3541. Prime factorization of 56656 in exponential form is:
56656 = 24 × 35411
Prime Factorization of 56664
Prime factors of 56664 are 2, 3, 787. Prime factorization of 56664 in exponential form is:
56664 = 23 × 32 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 56656 and 56664.
LCM(56656,56664) = 24 × 35411 × 32 × 7871
LCM(56656,56664) = 401294448
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