What is the Least Common Multiple of 24700 and 24705?

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 24700 and 24705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24700 and 24705, than apply into the LCM equation.

GCF(24700,24705) = 5
LCM(24700,24705) = ( 24700 × 24705) / 5
LCM(24700,24705) = 610213500 / 5
LCM(24700,24705) = 122042700

Least Common Multiple (LCM) of 24700 and 24705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24700 and 24705. First we will calculate the prime factors of 24700 and 24705.

Prime Factorization of 24700

Prime Factorization of 24705

Now multiplying the highest exponent prime factors to calculate the LCM of 24700 and 24705.

LCM(24700,24705) = 2² × 5² × 13¹ × 19¹ × 3⁴ × 61¹
LCM(24700,24705) = 122042700