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What is the Least Common Multiple of 94134 and 94148?

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 94134 and 94148 is 4431263916.

LCM(94134,94148) = 4431263916

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Least Common Multiple of 94134 and 94148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94134 and 94148, than apply into the LCM equation.

GCF(94134,94148) = 2
LCM(94134,94148) = ( 94134 × 94148) / 2
LCM(94134,94148) = 8862527832 / 2
LCM(94134,94148) = 4431263916

Least Common Multiple (LCM) of 94134 and 94148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94134 and 94148. First we will calculate the prime factors of 94134 and 94148.

Prime Factorization of 94134

Prime factors of 94134 are 2, 3, 29, 541. Prime factorization of 94134 in exponential form is:

94134 = 21 × 31 × 291 × 5411

Prime Factorization of 94148

Prime factors of 94148 are 2, 23537. Prime factorization of 94148 in exponential form is:

94148 = 22 × 235371

Now multiplying the highest exponent prime factors to calculate the LCM of 94134 and 94148.

LCM(94134,94148) = 22 × 31 × 291 × 5411 × 235371
LCM(94134,94148) = 4431263916