What is the Least Common Multiple of 24704 and 24710?

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 24704 and 24710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24704 and 24710, than apply into the LCM equation.

GCF(24704,24710) = 2
LCM(24704,24710) = ( 24704 × 24710) / 2
LCM(24704,24710) = 610435840 / 2
LCM(24704,24710) = 305217920

Least Common Multiple (LCM) of 24704 and 24710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24704 and 24710. First we will calculate the prime factors of 24704 and 24710.

Prime Factorization of 24704

Prime Factorization of 24710

Now multiplying the highest exponent prime factors to calculate the LCM of 24704 and 24710.

LCM(24704,24710) = 2⁷ × 193¹ × 5¹ × 7¹ × 353¹
LCM(24704,24710) = 305217920