What is the Least Common Multiple of 43460 and 43475?

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 43460 and 43475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43460 and 43475, than apply into the LCM equation.

GCF(43460,43475) = 5
LCM(43460,43475) = ( 43460 × 43475) / 5
LCM(43460,43475) = 1889423500 / 5
LCM(43460,43475) = 377884700

Least Common Multiple (LCM) of 43460 and 43475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43460 and 43475. First we will calculate the prime factors of 43460 and 43475.

Prime Factorization of 43460

Prime Factorization of 43475

Now multiplying the highest exponent prime factors to calculate the LCM of 43460 and 43475.

LCM(43460,43475) = 2² × 5² × 41¹ × 53¹ × 37¹ × 47¹
LCM(43460,43475) = 377884700