What is the Least Common Multiple of 28365 and 28374?

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 28365 and 28374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28365 and 28374, than apply into the LCM equation.

GCF(28365,28374) = 3
LCM(28365,28374) = ( 28365 × 28374) / 3
LCM(28365,28374) = 804828510 / 3
LCM(28365,28374) = 268276170

Least Common Multiple (LCM) of 28365 and 28374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28365 and 28374. First we will calculate the prime factors of 28365 and 28374.

Prime Factorization of 28365

Prime Factorization of 28374

Now multiplying the highest exponent prime factors to calculate the LCM of 28365 and 28374.

LCM(28365,28374) = 3¹ × 5¹ × 31¹ × 61¹ × 2¹ × 4729¹
LCM(28365,28374) = 268276170