What is the Least Common Multiple of 24755 and 24770?

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 24755 and 24770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24755 and 24770, than apply into the LCM equation.

GCF(24755,24770) = 5
LCM(24755,24770) = ( 24755 × 24770) / 5
LCM(24755,24770) = 613181350 / 5
LCM(24755,24770) = 122636270

Least Common Multiple (LCM) of 24755 and 24770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24755 and 24770. First we will calculate the prime factors of 24755 and 24770.

Prime Factorization of 24755

Prime Factorization of 24770

Now multiplying the highest exponent prime factors to calculate the LCM of 24755 and 24770.

LCM(24755,24770) = 5¹ × 4951¹ × 2¹ × 2477¹
LCM(24755,24770) = 122636270