What is the Least Common Multiple of 60400 and 60414?

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 60400 and 60414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60400 and 60414, than apply into the LCM equation.

GCF(60400,60414) = 2
LCM(60400,60414) = ( 60400 × 60414) / 2
LCM(60400,60414) = 3649005600 / 2
LCM(60400,60414) = 1824502800

Least Common Multiple (LCM) of 60400 and 60414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60400 and 60414. First we will calculate the prime factors of 60400 and 60414.

Prime Factorization of 60400

Prime Factorization of 60414

Now multiplying the highest exponent prime factors to calculate the LCM of 60400 and 60414.

LCM(60400,60414) = 2⁴ × 5² × 151¹ × 3¹ × 10069¹
LCM(60400,60414) = 1824502800