What is the Least Common Multiple of 67362 and 67378?

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 67362 and 67378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67362 and 67378, than apply into the LCM equation.

GCF(67362,67378) = 2
LCM(67362,67378) = ( 67362 × 67378) / 2
LCM(67362,67378) = 4538716836 / 2
LCM(67362,67378) = 2269358418

Least Common Multiple (LCM) of 67362 and 67378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67362 and 67378. First we will calculate the prime factors of 67362 and 67378.

Prime Factorization of 67362

Prime Factorization of 67378

Now multiplying the highest exponent prime factors to calculate the LCM of 67362 and 67378.

LCM(67362,67378) = 2¹ × 3¹ × 103¹ × 109¹ × 59¹ × 571¹
LCM(67362,67378) = 2269358418