What is the Least Common Multiple of 43350 and 43365?

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 43350 and 43365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43350 and 43365, than apply into the LCM equation.

GCF(43350,43365) = 15
LCM(43350,43365) = ( 43350 × 43365) / 15
LCM(43350,43365) = 1879872750 / 15
LCM(43350,43365) = 125324850

Least Common Multiple (LCM) of 43350 and 43365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43350 and 43365. First we will calculate the prime factors of 43350 and 43365.

Prime Factorization of 43350

Prime Factorization of 43365

Now multiplying the highest exponent prime factors to calculate the LCM of 43350 and 43365.

LCM(43350,43365) = 2¹ × 3¹ × 5² × 17² × 7² × 59¹
LCM(43350,43365) = 125324850