What is the Least Common Multiple of 43605 and 43624?

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 43605 and 43624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43605 and 43624, than apply into the LCM equation.

GCF(43605,43624) = 19
LCM(43605,43624) = ( 43605 × 43624) / 19
LCM(43605,43624) = 1902224520 / 19
LCM(43605,43624) = 100117080

Least Common Multiple (LCM) of 43605 and 43624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43605 and 43624. First we will calculate the prime factors of 43605 and 43624.

Prime Factorization of 43605

Prime Factorization of 43624

Now multiplying the highest exponent prime factors to calculate the LCM of 43605 and 43624.

LCM(43605,43624) = 3³ × 5¹ × 17¹ × 19¹ × 2³ × 7¹ × 41¹
LCM(43605,43624) = 100117080