What is the Least Common Multiple of 66250 and 66270?

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 66250 and 66270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66250 and 66270, than apply into the LCM equation.

GCF(66250,66270) = 10
LCM(66250,66270) = ( 66250 × 66270) / 10
LCM(66250,66270) = 4390387500 / 10
LCM(66250,66270) = 439038750

Least Common Multiple (LCM) of 66250 and 66270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66250 and 66270. First we will calculate the prime factors of 66250 and 66270.

Prime Factorization of 66250

Prime Factorization of 66270

Now multiplying the highest exponent prime factors to calculate the LCM of 66250 and 66270.

LCM(66250,66270) = 2¹ × 5⁴ × 53¹ × 3¹ × 47²
LCM(66250,66270) = 439038750