What is the Least Common Multiple of 24420 and 24435?

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 24420 and 24435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24420 and 24435, than apply into the LCM equation.

GCF(24420,24435) = 15
LCM(24420,24435) = ( 24420 × 24435) / 15
LCM(24420,24435) = 596702700 / 15
LCM(24420,24435) = 39780180

Least Common Multiple (LCM) of 24420 and 24435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24420 and 24435. First we will calculate the prime factors of 24420 and 24435.

Prime Factorization of 24420

Prime Factorization of 24435

Now multiplying the highest exponent prime factors to calculate the LCM of 24420 and 24435.

LCM(24420,24435) = 2² × 3³ × 5¹ × 11¹ × 37¹ × 181¹
LCM(24420,24435) = 39780180