What is the Least Common Multiple of 92470 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 92470 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 92470 and 92475, than apply into the LCM equation.

GCF(92470,92475) = 5
LCM(92470,92475) = ( 92470 × 92475) / 5
LCM(92470,92475) = 8551163250 / 5
LCM(92470,92475) = 1710232650

Least Common Multiple (LCM) of 92470 and 92475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92470 and 92475. First we will calculate the prime factors of 92470 and 92475.

Prime Factorization of 92470

Prime Factorization of 92475

Now multiplying the highest exponent prime factors to calculate the LCM of 92470 and 92475.

LCM(92470,92475) = 2¹ × 5² × 7¹ × 1321¹ × 3³ × 137¹
LCM(92470,92475) = 1710232650