What is the Least Common Multiple of 67626 and 67635?

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 67626 and 67635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67626 and 67635, than apply into the LCM equation.

GCF(67626,67635) = 9
LCM(67626,67635) = ( 67626 × 67635) / 9
LCM(67626,67635) = 4573884510 / 9
LCM(67626,67635) = 508209390

Least Common Multiple (LCM) of 67626 and 67635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67626 and 67635. First we will calculate the prime factors of 67626 and 67635.

Prime Factorization of 67626

Prime Factorization of 67635

Now multiplying the highest exponent prime factors to calculate the LCM of 67626 and 67635.

LCM(67626,67635) = 2¹ × 3⁴ × 13¹ × 17² × 5¹ × 167¹
LCM(67626,67635) = 508209390