What is the Least Common Multiple of 43496 and 43508?

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 43496 and 43508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43496 and 43508, than apply into the LCM equation.

GCF(43496,43508) = 4
LCM(43496,43508) = ( 43496 × 43508) / 4
LCM(43496,43508) = 1892423968 / 4
LCM(43496,43508) = 473105992

Least Common Multiple (LCM) of 43496 and 43508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43496 and 43508. First we will calculate the prime factors of 43496 and 43508.

Prime Factorization of 43496

Prime Factorization of 43508

Now multiplying the highest exponent prime factors to calculate the LCM of 43496 and 43508.

LCM(43496,43508) = 2³ × 5437¹ × 73¹ × 149¹
LCM(43496,43508) = 473105992