What is the Least Common Multiple of 24460 and 24468?

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 24460 and 24468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24460 and 24468, than apply into the LCM equation.

GCF(24460,24468) = 4
LCM(24460,24468) = ( 24460 × 24468) / 4
LCM(24460,24468) = 598487280 / 4
LCM(24460,24468) = 149621820

Least Common Multiple (LCM) of 24460 and 24468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24460 and 24468. First we will calculate the prime factors of 24460 and 24468.

Prime Factorization of 24460

Prime Factorization of 24468

Now multiplying the highest exponent prime factors to calculate the LCM of 24460 and 24468.

LCM(24460,24468) = 2² × 5¹ × 1223¹ × 3¹ × 2039¹
LCM(24460,24468) = 149621820