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What is the Least Common Multiple of 7604 and 7608?

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 7604 and 7608 is 14462808.

LCM(7604,7608) = 14462808

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Least Common Multiple of 7604 and 7608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7604 and 7608, than apply into the LCM equation.

GCF(7604,7608) = 4
LCM(7604,7608) = ( 7604 × 7608) / 4
LCM(7604,7608) = 57851232 / 4
LCM(7604,7608) = 14462808

Least Common Multiple (LCM) of 7604 and 7608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7604 and 7608. First we will calculate the prime factors of 7604 and 7608.

Prime Factorization of 7604

Prime factors of 7604 are 2, 1901. Prime factorization of 7604 in exponential form is:

7604 = 22 × 19011

Prime Factorization of 7608

Prime factors of 7608 are 2, 3, 317. Prime factorization of 7608 in exponential form is:

7608 = 23 × 31 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 7604 and 7608.

LCM(7604,7608) = 23 × 19011 × 31 × 3171
LCM(7604,7608) = 14462808