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What is the Least Common Multiple of 92364 and 92374?

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 92364 and 92374 is 4266016068.

LCM(92364,92374) = 4266016068

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Least Common Multiple of 92364 and 92374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92364 and 92374, than apply into the LCM equation.

GCF(92364,92374) = 2
LCM(92364,92374) = ( 92364 × 92374) / 2
LCM(92364,92374) = 8532032136 / 2
LCM(92364,92374) = 4266016068

Least Common Multiple (LCM) of 92364 and 92374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92364 and 92374. First we will calculate the prime factors of 92364 and 92374.

Prime Factorization of 92364

Prime factors of 92364 are 2, 3, 43, 179. Prime factorization of 92364 in exponential form is:

92364 = 22 × 31 × 431 × 1791

Prime Factorization of 92374

Prime factors of 92374 are 2, 46187. Prime factorization of 92374 in exponential form is:

92374 = 21 × 461871

Now multiplying the highest exponent prime factors to calculate the LCM of 92364 and 92374.

LCM(92364,92374) = 22 × 31 × 431 × 1791 × 461871
LCM(92364,92374) = 4266016068