What is the Least Common Multiple of 3948 and 3962?

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 3948 and 3962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3948 and 3962, than apply into the LCM equation.

GCF(3948,3962) = 14
LCM(3948,3962) = ( 3948 × 3962) / 14
LCM(3948,3962) = 15641976 / 14
LCM(3948,3962) = 1117284

Least Common Multiple (LCM) of 3948 and 3962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3948 and 3962. First we will calculate the prime factors of 3948 and 3962.

Prime Factorization of 3948

Prime Factorization of 3962

Now multiplying the highest exponent prime factors to calculate the LCM of 3948 and 3962.

LCM(3948,3962) = 2² × 3¹ × 7¹ × 47¹ × 283¹
LCM(3948,3962) = 1117284