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What is the Least Common Multiple of 92692 and 92708?

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 92708 is 2148322484.

LCM(92692,92708) = 2148322484

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Least Common Multiple of 92692 and 92708 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 92708, than apply into the LCM equation.

GCF(92692,92708) = 4
LCM(92692,92708) = ( 92692 × 92708) / 4
LCM(92692,92708) = 8593289936 / 4
LCM(92692,92708) = 2148322484

Least Common Multiple (LCM) of 92692 and 92708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92692 and 92708. First we will calculate the prime factors of 92692 and 92708.

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 92708

Prime factors of 92708 are 2, 7, 11, 43. Prime factorization of 92708 in exponential form is:

92708 = 22 × 72 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 92692 and 92708.

LCM(92692,92708) = 22 × 231731 × 72 × 111 × 431
LCM(92692,92708) = 2148322484