What is the Least Common Multiple of 5946 and 5962?

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 5946 and 5962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5946 and 5962, than apply into the LCM equation.

GCF(5946,5962) = 2
LCM(5946,5962) = ( 5946 × 5962) / 2
LCM(5946,5962) = 35450052 / 2
LCM(5946,5962) = 17725026

Least Common Multiple (LCM) of 5946 and 5962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5946 and 5962. First we will calculate the prime factors of 5946 and 5962.

Prime Factorization of 5946

Prime Factorization of 5962

Now multiplying the highest exponent prime factors to calculate the LCM of 5946 and 5962.

LCM(5946,5962) = 2¹ × 3¹ × 991¹ × 11¹ × 271¹
LCM(5946,5962) = 17725026