What is the Least Common Multiple of 43360 and 43373?

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 43360 and 43373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43360 and 43373, than apply into the LCM equation.

GCF(43360,43373) = 1
LCM(43360,43373) = ( 43360 × 43373) / 1
LCM(43360,43373) = 1880653280 / 1
LCM(43360,43373) = 1880653280

Least Common Multiple (LCM) of 43360 and 43373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43360 and 43373. First we will calculate the prime factors of 43360 and 43373.

Prime Factorization of 43360

Prime Factorization of 43373

Now multiplying the highest exponent prime factors to calculate the LCM of 43360 and 43373.

LCM(43360,43373) = 2⁵ × 5¹ × 271¹ × 11¹ × 3943¹
LCM(43360,43373) = 1880653280