What is the Least Common Multiple of 66230 and 66250?

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 66230 and 66250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66230 and 66250, than apply into the LCM equation.

GCF(66230,66250) = 10
LCM(66230,66250) = ( 66230 × 66250) / 10
LCM(66230,66250) = 4387737500 / 10
LCM(66230,66250) = 438773750

Least Common Multiple (LCM) of 66230 and 66250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66230 and 66250. First we will calculate the prime factors of 66230 and 66250.

Prime Factorization of 66230

Prime Factorization of 66250

Now multiplying the highest exponent prime factors to calculate the LCM of 66230 and 66250.

LCM(66230,66250) = 2¹ × 5⁴ × 37¹ × 179¹ × 53¹
LCM(66230,66250) = 438773750