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What is the Least Common Multiple of 77432 and 77444?

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 77432 and 77444 is 1499160952.

LCM(77432,77444) = 1499160952

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Least Common Multiple of 77432 and 77444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77432 and 77444, than apply into the LCM equation.

GCF(77432,77444) = 4
LCM(77432,77444) = ( 77432 × 77444) / 4
LCM(77432,77444) = 5996643808 / 4
LCM(77432,77444) = 1499160952

Least Common Multiple (LCM) of 77432 and 77444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77432 and 77444. First we will calculate the prime factors of 77432 and 77444.

Prime Factorization of 77432

Prime factors of 77432 are 2, 9679. Prime factorization of 77432 in exponential form is:

77432 = 23 × 96791

Prime Factorization of 77444

Prime factors of 77444 are 2, 19, 1019. Prime factorization of 77444 in exponential form is:

77444 = 22 × 191 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 77432 and 77444.

LCM(77432,77444) = 23 × 96791 × 191 × 10191
LCM(77432,77444) = 1499160952