What is the Least Common Multiple of 60390 and 60400?

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 60390 and 60400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60390 and 60400, than apply into the LCM equation.

GCF(60390,60400) = 10
LCM(60390,60400) = ( 60390 × 60400) / 10
LCM(60390,60400) = 3647556000 / 10
LCM(60390,60400) = 364755600

Least Common Multiple (LCM) of 60390 and 60400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60390 and 60400. First we will calculate the prime factors of 60390 and 60400.

Prime Factorization of 60390

Prime Factorization of 60400

Now multiplying the highest exponent prime factors to calculate the LCM of 60390 and 60400.

LCM(60390,60400) = 2⁴ × 3² × 5² × 11¹ × 61¹ × 151¹
LCM(60390,60400) = 364755600