What is the Least Common Multiple of 43250 and 43270?

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 43250 and 43270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43250 and 43270, than apply into the LCM equation.

GCF(43250,43270) = 10
LCM(43250,43270) = ( 43250 × 43270) / 10
LCM(43250,43270) = 1871427500 / 10
LCM(43250,43270) = 187142750

Least Common Multiple (LCM) of 43250 and 43270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43250 and 43270. First we will calculate the prime factors of 43250 and 43270.

Prime Factorization of 43250

Prime Factorization of 43270

Now multiplying the highest exponent prime factors to calculate the LCM of 43250 and 43270.

LCM(43250,43270) = 2¹ × 5³ × 173¹ × 4327¹
LCM(43250,43270) = 187142750