What is the Least Common Multiple of 92475 and 92481?

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 92475 and 92481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92475 and 92481, than apply into the LCM equation.

GCF(92475,92481) = 3
LCM(92475,92481) = ( 92475 × 92481) / 3
LCM(92475,92481) = 8552180475 / 3
LCM(92475,92481) = 2850726825

Least Common Multiple (LCM) of 92475 and 92481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92475 and 92481. First we will calculate the prime factors of 92475 and 92481.

Prime Factorization of 92475

Prime Factorization of 92481

Now multiplying the highest exponent prime factors to calculate the LCM of 92475 and 92481.

LCM(92475,92481) = 3³ × 5² × 137¹ × 29¹ × 1063¹
LCM(92475,92481) = 2850726825