What is the Least Common Multiple of 67635 and 67644?

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 67635 and 67644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67635 and 67644, than apply into the LCM equation.

GCF(67635,67644) = 9
LCM(67635,67644) = ( 67635 × 67644) / 9
LCM(67635,67644) = 4575101940 / 9
LCM(67635,67644) = 508344660

Least Common Multiple (LCM) of 67635 and 67644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67635 and 67644. First we will calculate the prime factors of 67635 and 67644.

Prime Factorization of 67635

Prime Factorization of 67644

Now multiplying the highest exponent prime factors to calculate the LCM of 67635 and 67644.

LCM(67635,67644) = 3⁴ × 5¹ × 167¹ × 2² × 1879¹
LCM(67635,67644) = 508344660