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What is the Least Common Multiple of 67572 and 67577?

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 67572 and 67577 is 4566313044.

LCM(67572,67577) = 4566313044

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Least Common Multiple of 67572 and 67577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67572 and 67577, than apply into the LCM equation.

GCF(67572,67577) = 1
LCM(67572,67577) = ( 67572 × 67577) / 1
LCM(67572,67577) = 4566313044 / 1
LCM(67572,67577) = 4566313044

Least Common Multiple (LCM) of 67572 and 67577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67572 and 67577. First we will calculate the prime factors of 67572 and 67577.

Prime Factorization of 67572

Prime factors of 67572 are 2, 3, 1877. Prime factorization of 67572 in exponential form is:

67572 = 22 × 32 × 18771

Prime Factorization of 67577

Prime factors of 67577 are 67577. Prime factorization of 67577 in exponential form is:

67577 = 675771

Now multiplying the highest exponent prime factors to calculate the LCM of 67572 and 67577.

LCM(67572,67577) = 22 × 32 × 18771 × 675771
LCM(67572,67577) = 4566313044