What is the Least Common Multiple of 95460 and 95472?

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 95460 and 95472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95460 and 95472, than apply into the LCM equation.

GCF(95460,95472) = 12
LCM(95460,95472) = ( 95460 × 95472) / 12
LCM(95460,95472) = 9113757120 / 12
LCM(95460,95472) = 759479760

Least Common Multiple (LCM) of 95460 and 95472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95460 and 95472. First we will calculate the prime factors of 95460 and 95472.

Prime Factorization of 95460

Prime Factorization of 95472

Now multiplying the highest exponent prime factors to calculate the LCM of 95460 and 95472.

LCM(95460,95472) = 2⁴ × 3³ × 5¹ × 37¹ × 43¹ × 13¹ × 17¹
LCM(95460,95472) = 759479760