What is the Least Common Multiple of 74361 and 74378?

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 74361 and 74378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74361 and 74378, than apply into the LCM equation.

GCF(74361,74378) = 1
LCM(74361,74378) = ( 74361 × 74378) / 1
LCM(74361,74378) = 5530822458 / 1
LCM(74361,74378) = 5530822458

Least Common Multiple (LCM) of 74361 and 74378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74361 and 74378. First we will calculate the prime factors of 74361 and 74378.

Prime Factorization of 74361

Prime Factorization of 74378

Now multiplying the highest exponent prime factors to calculate the LCM of 74361 and 74378.

LCM(74361,74378) = 3¹ × 7¹ × 3541¹ × 2¹ × 37189¹
LCM(74361,74378) = 5530822458