What is the Least Common Multiple of 5940 and 5951?

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 5940 and 5951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5940 and 5951, than apply into the LCM equation.

GCF(5940,5951) = 11
LCM(5940,5951) = ( 5940 × 5951) / 11
LCM(5940,5951) = 35348940 / 11
LCM(5940,5951) = 3213540

Least Common Multiple (LCM) of 5940 and 5951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5940 and 5951. First we will calculate the prime factors of 5940 and 5951.

Prime Factorization of 5940

Prime Factorization of 5951

Now multiplying the highest exponent prime factors to calculate the LCM of 5940 and 5951.

LCM(5940,5951) = 2² × 3³ × 5¹ × 11¹ × 541¹
LCM(5940,5951) = 3213540