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What is the Least Common Multiple of 66536 and 66552?

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 66536 and 66552 is 553512984.

LCM(66536,66552) = 553512984

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Least Common Multiple of 66536 and 66552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66536 and 66552, than apply into the LCM equation.

GCF(66536,66552) = 8
LCM(66536,66552) = ( 66536 × 66552) / 8
LCM(66536,66552) = 4428103872 / 8
LCM(66536,66552) = 553512984

Least Common Multiple (LCM) of 66536 and 66552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66536 and 66552. First we will calculate the prime factors of 66536 and 66552.

Prime Factorization of 66536

Prime factors of 66536 are 2, 8317. Prime factorization of 66536 in exponential form is:

66536 = 23 × 83171

Prime Factorization of 66552

Prime factors of 66552 are 2, 3, 47, 59. Prime factorization of 66552 in exponential form is:

66552 = 23 × 31 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 66536 and 66552.

LCM(66536,66552) = 23 × 83171 × 31 × 471 × 591
LCM(66536,66552) = 553512984