What is the Least Common Multiple of 43494 and 43510?

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 43510 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 43510, than apply into the LCM equation.

GCF(43494,43510) = 2
LCM(43494,43510) = ( 43494 × 43510) / 2
LCM(43494,43510) = 1892423940 / 2
LCM(43494,43510) = 946211970

Least Common Multiple (LCM) of 43494 and 43510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43494 and 43510. First we will calculate the prime factors of 43494 and 43510.

Prime Factorization of 43494

Prime Factorization of 43510

Now multiplying the highest exponent prime factors to calculate the LCM of 43494 and 43510.

LCM(43494,43510) = 2¹ × 3¹ × 11¹ × 659¹ × 5¹ × 19¹ × 229¹
LCM(43494,43510) = 946211970