What is the Least Common Multiple of 92456 and 92470?

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 92456 and 92470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92456 and 92470, than apply into the LCM equation.

GCF(92456,92470) = 14
LCM(92456,92470) = ( 92456 × 92470) / 14
LCM(92456,92470) = 8549406320 / 14
LCM(92456,92470) = 610671880

Least Common Multiple (LCM) of 92456 and 92470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92456 and 92470. First we will calculate the prime factors of 92456 and 92470.

Prime Factorization of 92456

Prime Factorization of 92470

Now multiplying the highest exponent prime factors to calculate the LCM of 92456 and 92470.

LCM(92456,92470) = 2³ × 7¹ × 13¹ × 127¹ × 5¹ × 1321¹
LCM(92456,92470) = 610671880