What is the Least Common Multiple of 62340 and 62360?

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 62340 and 62360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62340 and 62360, than apply into the LCM equation.

GCF(62340,62360) = 20
LCM(62340,62360) = ( 62340 × 62360) / 20
LCM(62340,62360) = 3887522400 / 20
LCM(62340,62360) = 194376120

Least Common Multiple (LCM) of 62340 and 62360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62340 and 62360. First we will calculate the prime factors of 62340 and 62360.

Prime Factorization of 62340

Prime Factorization of 62360

Now multiplying the highest exponent prime factors to calculate the LCM of 62340 and 62360.

LCM(62340,62360) = 2³ × 3¹ × 5¹ × 1039¹ × 1559¹
LCM(62340,62360) = 194376120