What is the Least Common Multiple of 43489 and 43504?

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 43489 and 43504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43489 and 43504, than apply into the LCM equation.

GCF(43489,43504) = 1
LCM(43489,43504) = ( 43489 × 43504) / 1
LCM(43489,43504) = 1891945456 / 1
LCM(43489,43504) = 1891945456

Least Common Multiple (LCM) of 43489 and 43504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43489 and 43504. First we will calculate the prime factors of 43489 and 43504.

Prime Factorization of 43489

Prime Factorization of 43504

Now multiplying the highest exponent prime factors to calculate the LCM of 43489 and 43504.

LCM(43489,43504) = 157¹ × 277¹ × 2⁴ × 2719¹
LCM(43489,43504) = 1891945456