What is the Least Common Multiple of 95480 and 95496?

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 95480 and 95496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95480 and 95496, than apply into the LCM equation.

GCF(95480,95496) = 8
LCM(95480,95496) = ( 95480 × 95496) / 8
LCM(95480,95496) = 9117958080 / 8
LCM(95480,95496) = 1139744760

Least Common Multiple (LCM) of 95480 and 95496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95480 and 95496. First we will calculate the prime factors of 95480 and 95496.

Prime Factorization of 95480

Prime Factorization of 95496

Now multiplying the highest exponent prime factors to calculate the LCM of 95480 and 95496.

LCM(95480,95496) = 2³ × 5¹ × 7¹ × 11¹ × 31¹ × 3¹ × 23¹ × 173¹
LCM(95480,95496) = 1139744760