What is the Least Common Multiple of 43494 and 43507?

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 43494 and 43507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43494 and 43507, than apply into the LCM equation.

GCF(43494,43507) = 1
LCM(43494,43507) = ( 43494 × 43507) / 1
LCM(43494,43507) = 1892293458 / 1
LCM(43494,43507) = 1892293458

Least Common Multiple (LCM) of 43494 and 43507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43494 and 43507. First we will calculate the prime factors of 43494 and 43507.

Prime Factorization of 43494

Prime Factorization of 43507

Now multiplying the highest exponent prime factors to calculate the LCM of 43494 and 43507.

LCM(43494,43507) = 2¹ × 3¹ × 11¹ × 659¹ × 139¹ × 313¹
LCM(43494,43507) = 1892293458