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What is the Least Common Multiple of 55652 and 55664?

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 55652 and 55664 is 774453232.

LCM(55652,55664) = 774453232

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Least Common Multiple of 55652 and 55664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55652 and 55664, than apply into the LCM equation.

GCF(55652,55664) = 4
LCM(55652,55664) = ( 55652 × 55664) / 4
LCM(55652,55664) = 3097812928 / 4
LCM(55652,55664) = 774453232

Least Common Multiple (LCM) of 55652 and 55664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55652 and 55664. First we will calculate the prime factors of 55652 and 55664.

Prime Factorization of 55652

Prime factors of 55652 are 2, 13913. Prime factorization of 55652 in exponential form is:

55652 = 22 × 139131

Prime Factorization of 55664

Prime factors of 55664 are 2, 7, 71. Prime factorization of 55664 in exponential form is:

55664 = 24 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 55652 and 55664.

LCM(55652,55664) = 24 × 139131 × 72 × 711
LCM(55652,55664) = 774453232