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What is the Least Common Multiple of 94264 and 94284?

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 94264 and 94284 is 2221896744.

LCM(94264,94284) = 2221896744

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Least Common Multiple of 94264 and 94284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94264 and 94284, than apply into the LCM equation.

GCF(94264,94284) = 4
LCM(94264,94284) = ( 94264 × 94284) / 4
LCM(94264,94284) = 8887586976 / 4
LCM(94264,94284) = 2221896744

Least Common Multiple (LCM) of 94264 and 94284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94264 and 94284. First we will calculate the prime factors of 94264 and 94284.

Prime Factorization of 94264

Prime factors of 94264 are 2, 11783. Prime factorization of 94264 in exponential form is:

94264 = 23 × 117831

Prime Factorization of 94284

Prime factors of 94284 are 2, 3, 97. Prime factorization of 94284 in exponential form is:

94284 = 22 × 35 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 94264 and 94284.

LCM(94264,94284) = 23 × 117831 × 35 × 971
LCM(94264,94284) = 2221896744