What is the Least Common Multiple of 62670 and 62684?

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 62670 and 62684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62670 and 62684, than apply into the LCM equation.

GCF(62670,62684) = 2
LCM(62670,62684) = ( 62670 × 62684) / 2
LCM(62670,62684) = 3928406280 / 2
LCM(62670,62684) = 1964203140

Least Common Multiple (LCM) of 62670 and 62684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62670 and 62684. First we will calculate the prime factors of 62670 and 62684.

Prime Factorization of 62670

Prime Factorization of 62684

Now multiplying the highest exponent prime factors to calculate the LCM of 62670 and 62684.

LCM(62670,62684) = 2² × 3¹ × 5¹ × 2089¹ × 15671¹
LCM(62670,62684) = 1964203140