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What is the Least Common Multiple of 56532 and 56536?

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 56532 and 56536 is 799023288.

LCM(56532,56536) = 799023288

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Least Common Multiple of 56532 and 56536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56532 and 56536, than apply into the LCM equation.

GCF(56532,56536) = 4
LCM(56532,56536) = ( 56532 × 56536) / 4
LCM(56532,56536) = 3196093152 / 4
LCM(56532,56536) = 799023288

Least Common Multiple (LCM) of 56532 and 56536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56532 and 56536. First we will calculate the prime factors of 56532 and 56536.

Prime Factorization of 56532

Prime factors of 56532 are 2, 3, 7, 673. Prime factorization of 56532 in exponential form is:

56532 = 22 × 31 × 71 × 6731

Prime Factorization of 56536

Prime factors of 56536 are 2, 37, 191. Prime factorization of 56536 in exponential form is:

56536 = 23 × 371 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 56532 and 56536.

LCM(56532,56536) = 23 × 31 × 71 × 6731 × 371 × 1911
LCM(56532,56536) = 799023288