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What is the Least Common Multiple of 94061 and 94078?

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 94061 and 94078 is 520533574.

LCM(94061,94078) = 520533574

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Least Common Multiple of 94061 and 94078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94061 and 94078, than apply into the LCM equation.

GCF(94061,94078) = 17
LCM(94061,94078) = ( 94061 × 94078) / 17
LCM(94061,94078) = 8849070758 / 17
LCM(94061,94078) = 520533574

Least Common Multiple (LCM) of 94061 and 94078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94061 and 94078. First we will calculate the prime factors of 94061 and 94078.

Prime Factorization of 94061

Prime factors of 94061 are 11, 17, 503. Prime factorization of 94061 in exponential form is:

94061 = 111 × 171 × 5031

Prime Factorization of 94078

Prime factors of 94078 are 2, 17, 2767. Prime factorization of 94078 in exponential form is:

94078 = 21 × 171 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 94061 and 94078.

LCM(94061,94078) = 111 × 171 × 5031 × 21 × 27671
LCM(94061,94078) = 520533574