What is the Least Common Multiple of 62025 and 62035?

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 62035 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 62035, than apply into the LCM equation.

GCF(62025,62035) = 5
LCM(62025,62035) = ( 62025 × 62035) / 5
LCM(62025,62035) = 3847720875 / 5
LCM(62025,62035) = 769544175

Least Common Multiple (LCM) of 62025 and 62035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62025 and 62035. First we will calculate the prime factors of 62025 and 62035.

Prime Factorization of 62025

Prime Factorization of 62035

Now multiplying the highest exponent prime factors to calculate the LCM of 62025 and 62035.

LCM(62025,62035) = 3¹ × 5² × 827¹ × 19¹ × 653¹
LCM(62025,62035) = 769544175