What is the Least Common Multiple of 81630 and 81638?

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 81630 and 81638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81630 and 81638, than apply into the LCM equation.

GCF(81630,81638) = 2
LCM(81630,81638) = ( 81630 × 81638) / 2
LCM(81630,81638) = 6664109940 / 2
LCM(81630,81638) = 3332054970

Least Common Multiple (LCM) of 81630 and 81638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81630 and 81638. First we will calculate the prime factors of 81630 and 81638.

Prime Factorization of 81630

Prime Factorization of 81638

Now multiplying the highest exponent prime factors to calculate the LCM of 81630 and 81638.

LCM(81630,81638) = 2¹ × 3² × 5¹ × 907¹ × 40819¹
LCM(81630,81638) = 3332054970