What is the Least Common Multiple of 62130 and 62145?

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 62130 and 62145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62130 and 62145, than apply into the LCM equation.

GCF(62130,62145) = 15
LCM(62130,62145) = ( 62130 × 62145) / 15
LCM(62130,62145) = 3861068850 / 15
LCM(62130,62145) = 257404590

Least Common Multiple (LCM) of 62130 and 62145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62130 and 62145. First we will calculate the prime factors of 62130 and 62145.

Prime Factorization of 62130

Prime Factorization of 62145

Now multiplying the highest exponent prime factors to calculate the LCM of 62130 and 62145.

LCM(62130,62145) = 2¹ × 3² × 5¹ × 19¹ × 109¹ × 1381¹
LCM(62130,62145) = 257404590