What is the Least Common Multiple of 43624 and 43638?

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 43624 and 43638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43624 and 43638, than apply into the LCM equation.

GCF(43624,43638) = 14
LCM(43624,43638) = ( 43624 × 43638) / 14
LCM(43624,43638) = 1903664112 / 14
LCM(43624,43638) = 135976008

Least Common Multiple (LCM) of 43624 and 43638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43624 and 43638. First we will calculate the prime factors of 43624 and 43638.

Prime Factorization of 43624

Prime Factorization of 43638

Now multiplying the highest exponent prime factors to calculate the LCM of 43624 and 43638.

LCM(43624,43638) = 2³ × 7¹ × 19¹ × 41¹ × 3¹ × 1039¹
LCM(43624,43638) = 135976008