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What is the Least Common Multiple of 42572 and 42584?

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 42572 and 42584 is 453221512.

LCM(42572,42584) = 453221512

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Least Common Multiple of 42572 and 42584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42572 and 42584, than apply into the LCM equation.

GCF(42572,42584) = 4
LCM(42572,42584) = ( 42572 × 42584) / 4
LCM(42572,42584) = 1812886048 / 4
LCM(42572,42584) = 453221512

Least Common Multiple (LCM) of 42572 and 42584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42572 and 42584. First we will calculate the prime factors of 42572 and 42584.

Prime Factorization of 42572

Prime factors of 42572 are 2, 29, 367. Prime factorization of 42572 in exponential form is:

42572 = 22 × 291 × 3671

Prime Factorization of 42584

Prime factors of 42584 are 2, 5323. Prime factorization of 42584 in exponential form is:

42584 = 23 × 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 42572 and 42584.

LCM(42572,42584) = 23 × 291 × 3671 × 53231
LCM(42572,42584) = 453221512