What is the Least Common Multiple of 40614 and 40632?

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 40614 and 40632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40614 and 40632, than apply into the LCM equation.

GCF(40614,40632) = 6
LCM(40614,40632) = ( 40614 × 40632) / 6
LCM(40614,40632) = 1650228048 / 6
LCM(40614,40632) = 275038008

Least Common Multiple (LCM) of 40614 and 40632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40614 and 40632. First we will calculate the prime factors of 40614 and 40632.

Prime Factorization of 40614

Prime Factorization of 40632

Now multiplying the highest exponent prime factors to calculate the LCM of 40614 and 40632.

LCM(40614,40632) = 2³ × 3¹ × 7¹ × 967¹ × 1693¹
LCM(40614,40632) = 275038008