What is the Least Common Multiple of 43604 and 43615?

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 43604 and 43615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43604 and 43615, than apply into the LCM equation.

GCF(43604,43615) = 11
LCM(43604,43615) = ( 43604 × 43615) / 11
LCM(43604,43615) = 1901788460 / 11
LCM(43604,43615) = 172889860

Least Common Multiple (LCM) of 43604 and 43615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43604 and 43615. First we will calculate the prime factors of 43604 and 43615.

Prime Factorization of 43604

Prime Factorization of 43615

Now multiplying the highest exponent prime factors to calculate the LCM of 43604 and 43615.

LCM(43604,43615) = 2² × 11¹ × 991¹ × 5¹ × 13¹ × 61¹
LCM(43604,43615) = 172889860