What is the Least Common Multiple of 5940 and 5950?

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 5950 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 5950, than apply into the LCM equation.

GCF(5940,5950) = 10
LCM(5940,5950) = ( 5940 × 5950) / 10
LCM(5940,5950) = 35343000 / 10
LCM(5940,5950) = 3534300

Least Common Multiple (LCM) of 5940 and 5950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5940 and 5950. First we will calculate the prime factors of 5940 and 5950.

Prime Factorization of 5940

Prime Factorization of 5950

Now multiplying the highest exponent prime factors to calculate the LCM of 5940 and 5950.

LCM(5940,5950) = 2² × 3³ × 5² × 11¹ × 7¹ × 17¹
LCM(5940,5950) = 3534300