What is the Least Common Multiple of 25712 and 25716?

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 25716 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 25716, than apply into the LCM equation.

GCF(25712,25716) = 4
LCM(25712,25716) = ( 25712 × 25716) / 4
LCM(25712,25716) = 661209792 / 4
LCM(25712,25716) = 165302448

Least Common Multiple (LCM) of 25712 and 25716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25712 and 25716. First we will calculate the prime factors of 25712 and 25716.

Prime Factorization of 25712

Prime Factorization of 25716

Now multiplying the highest exponent prime factors to calculate the LCM of 25712 and 25716.

LCM(25712,25716) = 2⁴ × 1607¹ × 3¹ × 2143¹
LCM(25712,25716) = 165302448