What is the Least Common Multiple of 28360 and 28378?

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 28360 and 28378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28360 and 28378, than apply into the LCM equation.

GCF(28360,28378) = 2
LCM(28360,28378) = ( 28360 × 28378) / 2
LCM(28360,28378) = 804800080 / 2
LCM(28360,28378) = 402400040

Least Common Multiple (LCM) of 28360 and 28378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28360 and 28378. First we will calculate the prime factors of 28360 and 28378.

Prime Factorization of 28360

Prime Factorization of 28378

Now multiplying the highest exponent prime factors to calculate the LCM of 28360 and 28378.

LCM(28360,28378) = 2³ × 5¹ × 709¹ × 7¹ × 2027¹
LCM(28360,28378) = 402400040