What is the Least Common Multiple of 24760 and 24780?

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 24760 and 24780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24760 and 24780, than apply into the LCM equation.

GCF(24760,24780) = 20
LCM(24760,24780) = ( 24760 × 24780) / 20
LCM(24760,24780) = 613552800 / 20
LCM(24760,24780) = 30677640

Least Common Multiple (LCM) of 24760 and 24780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24760 and 24780. First we will calculate the prime factors of 24760 and 24780.

Prime Factorization of 24760

Prime Factorization of 24780

Now multiplying the highest exponent prime factors to calculate the LCM of 24760 and 24780.

LCM(24760,24780) = 2³ × 5¹ × 619¹ × 3¹ × 7¹ × 59¹
LCM(24760,24780) = 30677640