What is the Least Common Multiple of 95496 and 95516?

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 95496 and 95516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95496 and 95516, than apply into the LCM equation.

GCF(95496,95516) = 4
LCM(95496,95516) = ( 95496 × 95516) / 4
LCM(95496,95516) = 9121395936 / 4
LCM(95496,95516) = 2280348984

Least Common Multiple (LCM) of 95496 and 95516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95496 and 95516. First we will calculate the prime factors of 95496 and 95516.

Prime Factorization of 95496

Prime Factorization of 95516

Now multiplying the highest exponent prime factors to calculate the LCM of 95496 and 95516.

LCM(95496,95516) = 2³ × 3¹ × 23¹ × 173¹ × 23879¹
LCM(95496,95516) = 2280348984