What is the Least Common Multiple of 25712 and 25724?

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 25712 and 25724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25712 and 25724, than apply into the LCM equation.

GCF(25712,25724) = 4
LCM(25712,25724) = ( 25712 × 25724) / 4
LCM(25712,25724) = 661415488 / 4
LCM(25712,25724) = 165353872

Least Common Multiple (LCM) of 25712 and 25724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25712 and 25724. First we will calculate the prime factors of 25712 and 25724.

Prime Factorization of 25712

Prime Factorization of 25724

Now multiplying the highest exponent prime factors to calculate the LCM of 25712 and 25724.

LCM(25712,25724) = 2⁴ × 1607¹ × 59¹ × 109¹
LCM(25712,25724) = 165353872