What is the Least Common Multiple of 59940 and 59950?

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 59940 and 59950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59940 and 59950, than apply into the LCM equation.

GCF(59940,59950) = 10
LCM(59940,59950) = ( 59940 × 59950) / 10
LCM(59940,59950) = 3593403000 / 10
LCM(59940,59950) = 359340300

Least Common Multiple (LCM) of 59940 and 59950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59940 and 59950. First we will calculate the prime factors of 59940 and 59950.

Prime Factorization of 59940

Prime Factorization of 59950

Now multiplying the highest exponent prime factors to calculate the LCM of 59940 and 59950.

LCM(59940,59950) = 2² × 3⁴ × 5² × 37¹ × 11¹ × 109¹
LCM(59940,59950) = 359340300