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What is the Least Common Multiple of 92692 and 92704?

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 92692 and 92704 is 2148229792.

LCM(92692,92704) = 2148229792

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Least Common Multiple of 92692 and 92704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92692 and 92704, than apply into the LCM equation.

GCF(92692,92704) = 4
LCM(92692,92704) = ( 92692 × 92704) / 4
LCM(92692,92704) = 8592919168 / 4
LCM(92692,92704) = 2148229792

Least Common Multiple (LCM) of 92692 and 92704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92692 and 92704. First we will calculate the prime factors of 92692 and 92704.

Prime Factorization of 92692

Prime factors of 92692 are 2, 23173. Prime factorization of 92692 in exponential form is:

92692 = 22 × 231731

Prime Factorization of 92704

Prime factors of 92704 are 2, 2897. Prime factorization of 92704 in exponential form is:

92704 = 25 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 92692 and 92704.

LCM(92692,92704) = 25 × 231731 × 28971
LCM(92692,92704) = 2148229792