What is the Least Common Multiple of 43542 and 43551?

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 43542 and 43551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43542 and 43551, than apply into the LCM equation.

GCF(43542,43551) = 9
LCM(43542,43551) = ( 43542 × 43551) / 9
LCM(43542,43551) = 1896297642 / 9
LCM(43542,43551) = 210699738

Least Common Multiple (LCM) of 43542 and 43551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43542 and 43551. First we will calculate the prime factors of 43542 and 43551.

Prime Factorization of 43542

Prime Factorization of 43551

Now multiplying the highest exponent prime factors to calculate the LCM of 43542 and 43551.

LCM(43542,43551) = 2¹ × 3³ × 41¹ × 59¹ × 1613¹
LCM(43542,43551) = 210699738