What is the Least Common Multiple of 43489 and 43502?

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 43502 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 43502, than apply into the LCM equation.

GCF(43489,43502) = 1
LCM(43489,43502) = ( 43489 × 43502) / 1
LCM(43489,43502) = 1891858478 / 1
LCM(43489,43502) = 1891858478

Least Common Multiple (LCM) of 43489 and 43502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43489 and 43502. First we will calculate the prime factors of 43489 and 43502.

Prime Factorization of 43489

Prime Factorization of 43502

Now multiplying the highest exponent prime factors to calculate the LCM of 43489 and 43502.

LCM(43489,43502) = 157¹ × 277¹ × 2¹ × 21751¹
LCM(43489,43502) = 1891858478