What is the Least Common Multiple of 58950 and 58964?

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 58950 and 58964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58950 and 58964, than apply into the LCM equation.

GCF(58950,58964) = 2
LCM(58950,58964) = ( 58950 × 58964) / 2
LCM(58950,58964) = 3475927800 / 2
LCM(58950,58964) = 1737963900

Least Common Multiple (LCM) of 58950 and 58964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58950 and 58964. First we will calculate the prime factors of 58950 and 58964.

Prime Factorization of 58950

Prime Factorization of 58964

Now multiplying the highest exponent prime factors to calculate the LCM of 58950 and 58964.

LCM(58950,58964) = 2² × 3² × 5² × 131¹ × 14741¹
LCM(58950,58964) = 1737963900