What is the Least Common Multiple of 43365 and 43383?

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 43365 and 43383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43365 and 43383, than apply into the LCM equation.

GCF(43365,43383) = 3
LCM(43365,43383) = ( 43365 × 43383) / 3
LCM(43365,43383) = 1881303795 / 3
LCM(43365,43383) = 627101265

Least Common Multiple (LCM) of 43365 and 43383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43365 and 43383. First we will calculate the prime factors of 43365 and 43383.

Prime Factorization of 43365

Prime Factorization of 43383

Now multiplying the highest exponent prime factors to calculate the LCM of 43365 and 43383.

LCM(43365,43383) = 3¹ × 5¹ × 7² × 59¹ × 14461¹
LCM(43365,43383) = 627101265