What is the Least Common Multiple of 40638 and 40651?

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 40638 and 40651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40638 and 40651, than apply into the LCM equation.

GCF(40638,40651) = 13
LCM(40638,40651) = ( 40638 × 40651) / 13
LCM(40638,40651) = 1651975338 / 13
LCM(40638,40651) = 127075026

Least Common Multiple (LCM) of 40638 and 40651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40638 and 40651. First we will calculate the prime factors of 40638 and 40651.

Prime Factorization of 40638

Prime Factorization of 40651

Now multiplying the highest exponent prime factors to calculate the LCM of 40638 and 40651.

LCM(40638,40651) = 2¹ × 3¹ × 13¹ × 521¹ × 53¹ × 59¹
LCM(40638,40651) = 127075026