What is the Least Common Multiple of 40638 and 40653?

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 40653 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 40653, than apply into the LCM equation.

GCF(40638,40653) = 3
LCM(40638,40653) = ( 40638 × 40653) / 3
LCM(40638,40653) = 1652056614 / 3
LCM(40638,40653) = 550685538

Least Common Multiple (LCM) of 40638 and 40653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40638 and 40653. First we will calculate the prime factors of 40638 and 40653.

Prime Factorization of 40638

Prime Factorization of 40653

Now multiplying the highest exponent prime factors to calculate the LCM of 40638 and 40653.

LCM(40638,40653) = 2¹ × 3² × 13¹ × 521¹ × 4517¹
LCM(40638,40653) = 550685538