What is the Least Common Multiple of 43595 and 43608?

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 43595 and 43608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43595 and 43608, than apply into the LCM equation.

GCF(43595,43608) = 1
LCM(43595,43608) = ( 43595 × 43608) / 1
LCM(43595,43608) = 1901090760 / 1
LCM(43595,43608) = 1901090760

Least Common Multiple (LCM) of 43595 and 43608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43595 and 43608. First we will calculate the prime factors of 43595 and 43608.

Prime Factorization of 43595

Prime Factorization of 43608

Now multiplying the highest exponent prime factors to calculate the LCM of 43595 and 43608.

LCM(43595,43608) = 5¹ × 8719¹ × 2³ × 3¹ × 23¹ × 79¹
LCM(43595,43608) = 1901090760