What is the Least Common Multiple of 24920 and 24936?

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 24920 and 24936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24920 and 24936, than apply into the LCM equation.

GCF(24920,24936) = 8
LCM(24920,24936) = ( 24920 × 24936) / 8
LCM(24920,24936) = 621405120 / 8
LCM(24920,24936) = 77675640

Least Common Multiple (LCM) of 24920 and 24936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24920 and 24936. First we will calculate the prime factors of 24920 and 24936.

Prime Factorization of 24920

Prime Factorization of 24936

Now multiplying the highest exponent prime factors to calculate the LCM of 24920 and 24936.

LCM(24920,24936) = 2³ × 5¹ × 7¹ × 89¹ × 3¹ × 1039¹
LCM(24920,24936) = 77675640