What is the Least Common Multiple of 67659 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 67659 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 67659 and 67665, than apply into the LCM equation.

GCF(67659,67665) = 3
LCM(67659,67665) = ( 67659 × 67665) / 3
LCM(67659,67665) = 4578146235 / 3
LCM(67659,67665) = 1526048745

Least Common Multiple (LCM) of 67659 and 67665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67659 and 67665. First we will calculate the prime factors of 67659 and 67665.

Prime Factorization of 67659

Prime Factorization of 67665

Now multiplying the highest exponent prime factors to calculate the LCM of 67659 and 67665.

LCM(67659,67665) = 3¹ × 19¹ × 1187¹ × 5¹ × 13¹ × 347¹
LCM(67659,67665) = 1526048745