What is the Least Common Multiple of 92892 and 92907?

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 of 92892 and 92907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92892 and 92907, than apply into the LCM equation.

GCF(92892,92907) = 3
LCM(92892,92907) = ( 92892 × 92907) / 3
LCM(92892,92907) = 8630317044 / 3
LCM(92892,92907) = 2876772348

Least Common Multiple (LCM) of 92892 and 92907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92892 and 92907. First we will calculate the prime factors of 92892 and 92907.

Prime Factorization of 92892

Prime Factorization of 92907

Now multiplying the highest exponent prime factors to calculate the LCM of 92892 and 92907.

LCM(92892,92907) = 2² × 3⁴ × 7741¹ × 31¹ × 37¹
LCM(92892,92907) = 2876772348