What is the Least Common Multiple of 62025 and 62030?

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 62025 and 62030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62025 and 62030, than apply into the LCM equation.

GCF(62025,62030) = 5
LCM(62025,62030) = ( 62025 × 62030) / 5
LCM(62025,62030) = 3847410750 / 5
LCM(62025,62030) = 769482150

Least Common Multiple (LCM) of 62025 and 62030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62025 and 62030. First we will calculate the prime factors of 62025 and 62030.

Prime Factorization of 62025

Prime Factorization of 62030

Now multiplying the highest exponent prime factors to calculate the LCM of 62025 and 62030.

LCM(62025,62030) = 3¹ × 5² × 827¹ × 2¹ × 6203¹
LCM(62025,62030) = 769482150