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What is the Least Common Multiple of 45653 and 45664?

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 45653 and 45664 is 2084698592.

LCM(45653,45664) = 2084698592

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Least Common Multiple of 45653 and 45664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45653 and 45664, than apply into the LCM equation.

GCF(45653,45664) = 1
LCM(45653,45664) = ( 45653 × 45664) / 1
LCM(45653,45664) = 2084698592 / 1
LCM(45653,45664) = 2084698592

Least Common Multiple (LCM) of 45653 and 45664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45653 and 45664. First we will calculate the prime factors of 45653 and 45664.

Prime Factorization of 45653

Prime factors of 45653 are 71, 643. Prime factorization of 45653 in exponential form is:

45653 = 711 × 6431

Prime Factorization of 45664

Prime factors of 45664 are 2, 1427. Prime factorization of 45664 in exponential form is:

45664 = 25 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 45653 and 45664.

LCM(45653,45664) = 711 × 6431 × 25 × 14271
LCM(45653,45664) = 2084698592