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What is the Least Common Multiple of 94604 and 94621?

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 94604 and 94621 is 8951525084.

LCM(94604,94621) = 8951525084

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Least Common Multiple of 94604 and 94621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94604 and 94621, than apply into the LCM equation.

GCF(94604,94621) = 1
LCM(94604,94621) = ( 94604 × 94621) / 1
LCM(94604,94621) = 8951525084 / 1
LCM(94604,94621) = 8951525084

Least Common Multiple (LCM) of 94604 and 94621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94604 and 94621. First we will calculate the prime factors of 94604 and 94621.

Prime Factorization of 94604

Prime factors of 94604 are 2, 67, 353. Prime factorization of 94604 in exponential form is:

94604 = 22 × 671 × 3531

Prime Factorization of 94621

Prime factors of 94621 are 94621. Prime factorization of 94621 in exponential form is:

94621 = 946211

Now multiplying the highest exponent prime factors to calculate the LCM of 94604 and 94621.

LCM(94604,94621) = 22 × 671 × 3531 × 946211
LCM(94604,94621) = 8951525084