What is the Least Common Multiple of 58140 and 58150?

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 58140 and 58150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58140 and 58150, than apply into the LCM equation.

GCF(58140,58150) = 10
LCM(58140,58150) = ( 58140 × 58150) / 10
LCM(58140,58150) = 3380841000 / 10
LCM(58140,58150) = 338084100

Least Common Multiple (LCM) of 58140 and 58150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58140 and 58150. First we will calculate the prime factors of 58140 and 58150.

Prime Factorization of 58140

Prime Factorization of 58150

Now multiplying the highest exponent prime factors to calculate the LCM of 58140 and 58150.

LCM(58140,58150) = 2² × 3² × 5² × 17¹ × 19¹ × 1163¹
LCM(58140,58150) = 338084100