What is the Least Common Multiple of 25956 and 25962?

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 25956 and 25962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25956 and 25962, than apply into the LCM equation.

GCF(25956,25962) = 6
LCM(25956,25962) = ( 25956 × 25962) / 6
LCM(25956,25962) = 673869672 / 6
LCM(25956,25962) = 112311612

Least Common Multiple (LCM) of 25956 and 25962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25956 and 25962. First we will calculate the prime factors of 25956 and 25962.

Prime Factorization of 25956

Prime Factorization of 25962

Now multiplying the highest exponent prime factors to calculate the LCM of 25956 and 25962.

LCM(25956,25962) = 2² × 3² × 7¹ × 103¹ × 4327¹
LCM(25956,25962) = 112311612