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What is the Least Common Multiple of 77603 and 77619?

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 77603 and 77619 is 6023467257.

LCM(77603,77619) = 6023467257

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Least Common Multiple of 77603 and 77619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77603 and 77619, than apply into the LCM equation.

GCF(77603,77619) = 1
LCM(77603,77619) = ( 77603 × 77619) / 1
LCM(77603,77619) = 6023467257 / 1
LCM(77603,77619) = 6023467257

Least Common Multiple (LCM) of 77603 and 77619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77603 and 77619. First we will calculate the prime factors of 77603 and 77619.

Prime Factorization of 77603

Prime factors of 77603 are 71, 1093. Prime factorization of 77603 in exponential form is:

77603 = 711 × 10931

Prime Factorization of 77619

Prime factors of 77619 are 3, 25873. Prime factorization of 77619 in exponential form is:

77619 = 31 × 258731

Now multiplying the highest exponent prime factors to calculate the LCM of 77603 and 77619.

LCM(77603,77619) = 711 × 10931 × 31 × 258731
LCM(77603,77619) = 6023467257