What is the Least Common Multiple of 43380 and 43400?

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 43380 and 43400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43380 and 43400, than apply into the LCM equation.

GCF(43380,43400) = 20
LCM(43380,43400) = ( 43380 × 43400) / 20
LCM(43380,43400) = 1882692000 / 20
LCM(43380,43400) = 94134600

Least Common Multiple (LCM) of 43380 and 43400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43380 and 43400. First we will calculate the prime factors of 43380 and 43400.

Prime Factorization of 43380

Prime Factorization of 43400

Now multiplying the highest exponent prime factors to calculate the LCM of 43380 and 43400.

LCM(43380,43400) = 2³ × 3² × 5² × 241¹ × 7¹ × 31¹
LCM(43380,43400) = 94134600