What is the Least Common Multiple of 24960 and 24965?

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 24960 and 24965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24960 and 24965, than apply into the LCM equation.

GCF(24960,24965) = 5
LCM(24960,24965) = ( 24960 × 24965) / 5
LCM(24960,24965) = 623126400 / 5
LCM(24960,24965) = 124625280

Least Common Multiple (LCM) of 24960 and 24965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24960 and 24965. First we will calculate the prime factors of 24960 and 24965.

Prime Factorization of 24960

Prime Factorization of 24965

Now multiplying the highest exponent prime factors to calculate the LCM of 24960 and 24965.

LCM(24960,24965) = 2⁷ × 3¹ × 5¹ × 13¹ × 4993¹
LCM(24960,24965) = 124625280