What is the Least Common Multiple of 43365 and 43380?

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 43380 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 43380, than apply into the LCM equation.

GCF(43365,43380) = 15
LCM(43365,43380) = ( 43365 × 43380) / 15
LCM(43365,43380) = 1881173700 / 15
LCM(43365,43380) = 125411580

Least Common Multiple (LCM) of 43365 and 43380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43365 and 43380. First we will calculate the prime factors of 43365 and 43380.

Prime Factorization of 43365

Prime Factorization of 43380

Now multiplying the highest exponent prime factors to calculate the LCM of 43365 and 43380.

LCM(43365,43380) = 3² × 5¹ × 7² × 59¹ × 2² × 241¹
LCM(43365,43380) = 125411580