What is the Least Common Multiple of 43620 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 43620 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 43620 and 43638, than apply into the LCM equation.

GCF(43620,43638) = 6
LCM(43620,43638) = ( 43620 × 43638) / 6
LCM(43620,43638) = 1903489560 / 6
LCM(43620,43638) = 317248260

Least Common Multiple (LCM) of 43620 and 43638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43620 and 43638. First we will calculate the prime factors of 43620 and 43638.

Prime Factorization of 43620

Prime Factorization of 43638

Now multiplying the highest exponent prime factors to calculate the LCM of 43620 and 43638.

LCM(43620,43638) = 2² × 3¹ × 5¹ × 727¹ × 7¹ × 1039¹
LCM(43620,43638) = 317248260