What is the Least Common Multiple of 95624 and 95630?

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 95624 and 95630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95624 and 95630, than apply into the LCM equation.

GCF(95624,95630) = 2
LCM(95624,95630) = ( 95624 × 95630) / 2
LCM(95624,95630) = 9144523120 / 2
LCM(95624,95630) = 4572261560

Least Common Multiple (LCM) of 95624 and 95630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95624 and 95630. First we will calculate the prime factors of 95624 and 95630.

Prime Factorization of 95624

Prime Factorization of 95630

Now multiplying the highest exponent prime factors to calculate the LCM of 95624 and 95630.

LCM(95624,95630) = 2³ × 11953¹ × 5¹ × 73¹ × 131¹
LCM(95624,95630) = 4572261560