What is the Least Common Multiple of 25748 and 25762?

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 25748 and 25762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25748 and 25762, than apply into the LCM equation.

GCF(25748,25762) = 2
LCM(25748,25762) = ( 25748 × 25762) / 2
LCM(25748,25762) = 663319976 / 2
LCM(25748,25762) = 331659988

Least Common Multiple (LCM) of 25748 and 25762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25748 and 25762. First we will calculate the prime factors of 25748 and 25762.

Prime Factorization of 25748

Prime Factorization of 25762

Now multiplying the highest exponent prime factors to calculate the LCM of 25748 and 25762.

LCM(25748,25762) = 2² × 41¹ × 157¹ × 11¹ × 1171¹
LCM(25748,25762) = 331659988