What is the Least Common Multiple of 92460 and 92475?

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 92460 and 92475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92460 and 92475, than apply into the LCM equation.

GCF(92460,92475) = 15
LCM(92460,92475) = ( 92460 × 92475) / 15
LCM(92460,92475) = 8550238500 / 15
LCM(92460,92475) = 570015900

Least Common Multiple (LCM) of 92460 and 92475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92460 and 92475. First we will calculate the prime factors of 92460 and 92475.

Prime Factorization of 92460

Prime Factorization of 92475

Now multiplying the highest exponent prime factors to calculate the LCM of 92460 and 92475.

LCM(92460,92475) = 2² × 3³ × 5² × 23¹ × 67¹ × 137¹
LCM(92460,92475) = 570015900