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What is the Least Common Multiple of 94710 and 94719?

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 94710 and 94719 is 2990278830.

LCM(94710,94719) = 2990278830

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Least Common Multiple of 94710 and 94719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94710 and 94719, than apply into the LCM equation.

GCF(94710,94719) = 3
LCM(94710,94719) = ( 94710 × 94719) / 3
LCM(94710,94719) = 8970836490 / 3
LCM(94710,94719) = 2990278830

Least Common Multiple (LCM) of 94710 and 94719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94710 and 94719. First we will calculate the prime factors of 94710 and 94719.

Prime Factorization of 94710

Prime factors of 94710 are 2, 3, 5, 7, 11, 41. Prime factorization of 94710 in exponential form is:

94710 = 21 × 31 × 51 × 71 × 111 × 411

Prime Factorization of 94719

Prime factors of 94719 are 3, 31573. Prime factorization of 94719 in exponential form is:

94719 = 31 × 315731

Now multiplying the highest exponent prime factors to calculate the LCM of 94710 and 94719.

LCM(94710,94719) = 21 × 31 × 51 × 71 × 111 × 411 × 315731
LCM(94710,94719) = 2990278830