GCF and LCM Calculator Logo

What is the Least Common Multiple of 92734 and 92741?

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 92734 and 92741 is 8600243894.

LCM(92734,92741) = 8600243894

LCM Calculator and
and

Least Common Multiple of 92734 and 92741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92734 and 92741, than apply into the LCM equation.

GCF(92734,92741) = 1
LCM(92734,92741) = ( 92734 × 92741) / 1
LCM(92734,92741) = 8600243894 / 1
LCM(92734,92741) = 8600243894

Least Common Multiple (LCM) of 92734 and 92741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92734 and 92741. First we will calculate the prime factors of 92734 and 92741.

Prime Factorization of 92734

Prime factors of 92734 are 2, 199, 233. Prime factorization of 92734 in exponential form is:

92734 = 21 × 1991 × 2331

Prime Factorization of 92741

Prime factors of 92741 are 11, 8431. Prime factorization of 92741 in exponential form is:

92741 = 111 × 84311

Now multiplying the highest exponent prime factors to calculate the LCM of 92734 and 92741.

LCM(92734,92741) = 21 × 1991 × 2331 × 111 × 84311
LCM(92734,92741) = 8600243894