What is the Least Common Multiple of 92925 and 92940?

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 92925 and 92940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92925 and 92940, than apply into the LCM equation.

GCF(92925,92940) = 15
LCM(92925,92940) = ( 92925 × 92940) / 15
LCM(92925,92940) = 8636449500 / 15
LCM(92925,92940) = 575763300

Least Common Multiple (LCM) of 92925 and 92940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92925 and 92940. First we will calculate the prime factors of 92925 and 92940.

Prime Factorization of 92925

Prime Factorization of 92940

Now multiplying the highest exponent prime factors to calculate the LCM of 92925 and 92940.

LCM(92925,92940) = 3² × 5² × 7¹ × 59¹ × 2² × 1549¹
LCM(92925,92940) = 575763300