What is the Least Common Multiple of 43438 and 43458?

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 43438 and 43458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43438 and 43458, than apply into the LCM equation.

GCF(43438,43458) = 2
LCM(43438,43458) = ( 43438 × 43458) / 2
LCM(43438,43458) = 1887728604 / 2
LCM(43438,43458) = 943864302

Least Common Multiple (LCM) of 43438 and 43458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43438 and 43458. First we will calculate the prime factors of 43438 and 43458.

Prime Factorization of 43438

Prime Factorization of 43458

Now multiplying the highest exponent prime factors to calculate the LCM of 43438 and 43458.

LCM(43438,43458) = 2¹ × 37¹ × 587¹ × 3¹ × 7243¹
LCM(43438,43458) = 943864302