What is the Least Common Multiple of 62325 and 62335?

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 62325 and 62335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62325 and 62335, than apply into the LCM equation.

GCF(62325,62335) = 5
LCM(62325,62335) = ( 62325 × 62335) / 5
LCM(62325,62335) = 3885028875 / 5
LCM(62325,62335) = 777005775

Least Common Multiple (LCM) of 62325 and 62335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62325 and 62335. First we will calculate the prime factors of 62325 and 62335.

Prime Factorization of 62325

Prime Factorization of 62335

Now multiplying the highest exponent prime factors to calculate the LCM of 62325 and 62335.

LCM(62325,62335) = 3² × 5² × 277¹ × 7¹ × 13¹ × 137¹
LCM(62325,62335) = 777005775