GCF and LCM Calculator Logo

What is the Least Common Multiple of 92686 and 92700?

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 92686 and 92700 is 4295996100.

LCM(92686,92700) = 4295996100

LCM Calculator and
and

Least Common Multiple of 92686 and 92700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92686 and 92700, than apply into the LCM equation.

GCF(92686,92700) = 2
LCM(92686,92700) = ( 92686 × 92700) / 2
LCM(92686,92700) = 8591992200 / 2
LCM(92686,92700) = 4295996100

Least Common Multiple (LCM) of 92686 and 92700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92686 and 92700. First we will calculate the prime factors of 92686 and 92700.

Prime Factorization of 92686

Prime factors of 92686 are 2, 11, 383. Prime factorization of 92686 in exponential form is:

92686 = 21 × 112 × 3831

Prime Factorization of 92700

Prime factors of 92700 are 2, 3, 5, 103. Prime factorization of 92700 in exponential form is:

92700 = 22 × 32 × 52 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 92686 and 92700.

LCM(92686,92700) = 22 × 112 × 3831 × 32 × 52 × 1031
LCM(92686,92700) = 4295996100