What is the Least Common Multiple of 67650 and 67665?

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 67650 and 67665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67650 and 67665, than apply into the LCM equation.

GCF(67650,67665) = 15
LCM(67650,67665) = ( 67650 × 67665) / 15
LCM(67650,67665) = 4577537250 / 15
LCM(67650,67665) = 305169150

Least Common Multiple (LCM) of 67650 and 67665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67650 and 67665. First we will calculate the prime factors of 67650 and 67665.

Prime Factorization of 67650

Prime Factorization of 67665

Now multiplying the highest exponent prime factors to calculate the LCM of 67650 and 67665.

LCM(67650,67665) = 2¹ × 3¹ × 5² × 11¹ × 41¹ × 13¹ × 347¹
LCM(67650,67665) = 305169150