GCF and LCM Calculator Logo

What is the Least Common Multiple of 92707 and 92720?

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 92707 and 92720 is 8595793040.

LCM(92707,92720) = 8595793040

LCM Calculator and
and

Least Common Multiple of 92707 and 92720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92707 and 92720, than apply into the LCM equation.

GCF(92707,92720) = 1
LCM(92707,92720) = ( 92707 × 92720) / 1
LCM(92707,92720) = 8595793040 / 1
LCM(92707,92720) = 8595793040

Least Common Multiple (LCM) of 92707 and 92720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92707 and 92720. First we will calculate the prime factors of 92707 and 92720.

Prime Factorization of 92707

Prime factors of 92707 are 92707. Prime factorization of 92707 in exponential form is:

92707 = 927071

Prime Factorization of 92720

Prime factors of 92720 are 2, 5, 19, 61. Prime factorization of 92720 in exponential form is:

92720 = 24 × 51 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 92707 and 92720.

LCM(92707,92720) = 927071 × 24 × 51 × 191 × 611
LCM(92707,92720) = 8595793040