What is the Least Common Multiple of 23608 and 23624?

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 23608 and 23624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23608 and 23624, than apply into the LCM equation.

GCF(23608,23624) = 8
LCM(23608,23624) = ( 23608 × 23624) / 8
LCM(23608,23624) = 557715392 / 8
LCM(23608,23624) = 69714424

Least Common Multiple (LCM) of 23608 and 23624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23608 and 23624. First we will calculate the prime factors of 23608 and 23624.

Prime Factorization of 23608

Prime Factorization of 23624

Now multiplying the highest exponent prime factors to calculate the LCM of 23608 and 23624.

LCM(23608,23624) = 2³ × 13¹ × 227¹ × 2953¹
LCM(23608,23624) = 69714424