What is the Least Common Multiple of 24720 and 24738?

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 24720 and 24738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24720 and 24738, than apply into the LCM equation.

GCF(24720,24738) = 6
LCM(24720,24738) = ( 24720 × 24738) / 6
LCM(24720,24738) = 611523360 / 6
LCM(24720,24738) = 101920560

Least Common Multiple (LCM) of 24720 and 24738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24720 and 24738. First we will calculate the prime factors of 24720 and 24738.

Prime Factorization of 24720

Prime Factorization of 24738

Now multiplying the highest exponent prime factors to calculate the LCM of 24720 and 24738.

LCM(24720,24738) = 2⁴ × 3¹ × 5¹ × 103¹ × 7¹ × 19¹ × 31¹
LCM(24720,24738) = 101920560