What is the Least Common Multiple of 95608 and 95624?

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 95608 and 95624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95608 and 95624, than apply into the LCM equation.

GCF(95608,95624) = 8
LCM(95608,95624) = ( 95608 × 95624) / 8
LCM(95608,95624) = 9142419392 / 8
LCM(95608,95624) = 1142802424

Least Common Multiple (LCM) of 95608 and 95624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95608 and 95624. First we will calculate the prime factors of 95608 and 95624.

Prime Factorization of 95608

Prime Factorization of 95624

Now multiplying the highest exponent prime factors to calculate the LCM of 95608 and 95624.

LCM(95608,95624) = 2³ × 17¹ × 19¹ × 37¹ × 11953¹
LCM(95608,95624) = 1142802424