What is the Least Common Multiple of 67646 and 67653?

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 67646 and 67653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67646 and 67653, than apply into the LCM equation.

GCF(67646,67653) = 1
LCM(67646,67653) = ( 67646 × 67653) / 1
LCM(67646,67653) = 4576454838 / 1
LCM(67646,67653) = 4576454838

Least Common Multiple (LCM) of 67646 and 67653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67646 and 67653. First we will calculate the prime factors of 67646 and 67653.

Prime Factorization of 67646

Prime Factorization of 67653

Now multiplying the highest exponent prime factors to calculate the LCM of 67646 and 67653.

LCM(67646,67653) = 2¹ × 149¹ × 227¹ × 3² × 7517¹
LCM(67646,67653) = 4576454838