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What is the Least Common Multiple of 92692 and 92702?

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 92702 is 4296366892.

LCM(92692,92702) = 4296366892

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Least Common Multiple of 92692 and 92702 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 92702, than apply into the LCM equation.

GCF(92692,92702) = 2
LCM(92692,92702) = ( 92692 × 92702) / 2
LCM(92692,92702) = 8592733784 / 2
LCM(92692,92702) = 4296366892

Least Common Multiple (LCM) of 92692 and 92702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92692 and 92702. First we will calculate the prime factors of 92692 and 92702.

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 92702

Prime factors of 92702 are 2, 46351. Prime factorization of 92702 in exponential form is:

92702 = 21 × 463511

Now multiplying the highest exponent prime factors to calculate the LCM of 92692 and 92702.

LCM(92692,92702) = 22 × 231731 × 463511
LCM(92692,92702) = 4296366892