What is the Least Common Multiple of 95460 and 95480?

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 95480 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 95480, than apply into the LCM equation.

GCF(95460,95480) = 20
LCM(95460,95480) = ( 95460 × 95480) / 20
LCM(95460,95480) = 9114520800 / 20
LCM(95460,95480) = 455726040

Least Common Multiple (LCM) of 95460 and 95480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95460 and 95480. First we will calculate the prime factors of 95460 and 95480.

Prime Factorization of 95460

Prime Factorization of 95480

Now multiplying the highest exponent prime factors to calculate the LCM of 95460 and 95480.

LCM(95460,95480) = 2³ × 3¹ × 5¹ × 37¹ × 43¹ × 7¹ × 11¹ × 31¹
LCM(95460,95480) = 455726040