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What is the Least Common Multiple of 62423 and 62432?

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 62423 and 62432 is 3897192736.

LCM(62423,62432) = 3897192736

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Least Common Multiple of 62423 and 62432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62423 and 62432, than apply into the LCM equation.

GCF(62423,62432) = 1
LCM(62423,62432) = ( 62423 × 62432) / 1
LCM(62423,62432) = 3897192736 / 1
LCM(62423,62432) = 3897192736

Least Common Multiple (LCM) of 62423 and 62432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62423 and 62432. First we will calculate the prime factors of 62423 and 62432.

Prime Factorization of 62423

Prime factors of 62423 are 62423. Prime factorization of 62423 in exponential form is:

62423 = 624231

Prime Factorization of 62432

Prime factors of 62432 are 2, 1951. Prime factorization of 62432 in exponential form is:

62432 = 25 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 62423 and 62432.

LCM(62423,62432) = 624231 × 25 × 19511
LCM(62423,62432) = 3897192736