What is the Least Common Multiple of 43476 and 43494?

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 43476 and 43494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43476 and 43494, than apply into the LCM equation.

GCF(43476,43494) = 6
LCM(43476,43494) = ( 43476 × 43494) / 6
LCM(43476,43494) = 1890945144 / 6
LCM(43476,43494) = 315157524

Least Common Multiple (LCM) of 43476 and 43494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43476 and 43494. First we will calculate the prime factors of 43476 and 43494.

Prime Factorization of 43476

Prime Factorization of 43494

Now multiplying the highest exponent prime factors to calculate the LCM of 43476 and 43494.

LCM(43476,43494) = 2² × 3¹ × 3623¹ × 11¹ × 659¹
LCM(43476,43494) = 315157524