What is the Least Common Multiple of 43340 and 43355?

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 43340 and 43355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43340 and 43355, than apply into the LCM equation.

GCF(43340,43355) = 5
LCM(43340,43355) = ( 43340 × 43355) / 5
LCM(43340,43355) = 1879005700 / 5
LCM(43340,43355) = 375801140

Least Common Multiple (LCM) of 43340 and 43355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43340 and 43355. First we will calculate the prime factors of 43340 and 43355.

Prime Factorization of 43340

Prime Factorization of 43355

Now multiplying the highest exponent prime factors to calculate the LCM of 43340 and 43355.

LCM(43340,43355) = 2² × 5¹ × 11¹ × 197¹ × 13¹ × 23¹ × 29¹
LCM(43340,43355) = 375801140