What is the Least Common Multiple of 76270 and 76282?

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 76270 and 76282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76270 and 76282, than apply into the LCM equation.

GCF(76270,76282) = 2
LCM(76270,76282) = ( 76270 × 76282) / 2
LCM(76270,76282) = 5818028140 / 2
LCM(76270,76282) = 2909014070

Least Common Multiple (LCM) of 76270 and 76282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76270 and 76282. First we will calculate the prime factors of 76270 and 76282.

Prime Factorization of 76270

Prime Factorization of 76282

Now multiplying the highest exponent prime factors to calculate the LCM of 76270 and 76282.

LCM(76270,76282) = 2¹ × 5¹ × 29¹ × 263¹ × 43¹ × 887¹
LCM(76270,76282) = 2909014070