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What is the Least Common Multiple of 94492 and 94507?

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 94492 and 94507 is 8930155444.

LCM(94492,94507) = 8930155444

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Least Common Multiple of 94492 and 94507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94492 and 94507, than apply into the LCM equation.

GCF(94492,94507) = 1
LCM(94492,94507) = ( 94492 × 94507) / 1
LCM(94492,94507) = 8930155444 / 1
LCM(94492,94507) = 8930155444

Least Common Multiple (LCM) of 94492 and 94507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94492 and 94507. First we will calculate the prime factors of 94492 and 94507.

Prime Factorization of 94492

Prime factors of 94492 are 2, 23623. Prime factorization of 94492 in exponential form is:

94492 = 22 × 236231

Prime Factorization of 94507

Prime factors of 94507 are 7, 23, 587. Prime factorization of 94507 in exponential form is:

94507 = 71 × 231 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 94492 and 94507.

LCM(94492,94507) = 22 × 236231 × 71 × 231 × 5871
LCM(94492,94507) = 8930155444