What is the Least Common Multiple of 1631 and 1638?

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 1631 and 1638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1631 and 1638, than apply into the LCM equation.

GCF(1631,1638) = 7
LCM(1631,1638) = ( 1631 × 1638) / 7
LCM(1631,1638) = 2671578 / 7
LCM(1631,1638) = 381654

Least Common Multiple (LCM) of 1631 and 1638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1631 and 1638. First we will calculate the prime factors of 1631 and 1638.

Prime Factorization of 1631

Prime Factorization of 1638

Now multiplying the highest exponent prime factors to calculate the LCM of 1631 and 1638.

LCM(1631,1638) = 7¹ × 233¹ × 2¹ × 3² × 13¹
LCM(1631,1638) = 381654