What is the Least Common Multiple of 79365 and 79374?

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 79365 and 79374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79365 and 79374, than apply into the LCM equation.

GCF(79365,79374) = 3
LCM(79365,79374) = ( 79365 × 79374) / 3
LCM(79365,79374) = 6299517510 / 3
LCM(79365,79374) = 2099839170

Least Common Multiple (LCM) of 79365 and 79374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79365 and 79374. First we will calculate the prime factors of 79365 and 79374.

Prime Factorization of 79365

Prime Factorization of 79374

Now multiplying the highest exponent prime factors to calculate the LCM of 79365 and 79374.

LCM(79365,79374) = 3¹ × 5¹ × 11¹ × 13¹ × 37¹ × 2¹ × 13229¹
LCM(79365,79374) = 2099839170