What is the Least Common Multiple of 84270 and 84287?

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 84270 and 84287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84270 and 84287, than apply into the LCM equation.

GCF(84270,84287) = 1
LCM(84270,84287) = ( 84270 × 84287) / 1
LCM(84270,84287) = 7102865490 / 1
LCM(84270,84287) = 7102865490

Least Common Multiple (LCM) of 84270 and 84287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84270 and 84287. First we will calculate the prime factors of 84270 and 84287.

Prime Factorization of 84270

Prime Factorization of 84287

Now multiplying the highest exponent prime factors to calculate the LCM of 84270 and 84287.

LCM(84270,84287) = 2¹ × 3¹ × 5¹ × 53² × 7¹ × 12041¹
LCM(84270,84287) = 7102865490