What is the Least Common Multiple of 25758 and 25776?

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 25758 and 25776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25758 and 25776, than apply into the LCM equation.

GCF(25758,25776) = 18
LCM(25758,25776) = ( 25758 × 25776) / 18
LCM(25758,25776) = 663938208 / 18
LCM(25758,25776) = 36885456

Least Common Multiple (LCM) of 25758 and 25776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25758 and 25776. First we will calculate the prime factors of 25758 and 25776.

Prime Factorization of 25758

Prime Factorization of 25776

Now multiplying the highest exponent prime factors to calculate the LCM of 25758 and 25776.

LCM(25758,25776) = 2⁴ × 3⁵ × 53¹ × 179¹
LCM(25758,25776) = 36885456