What is the Least Common Multiple of 84250 and 84265?

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 84250 and 84265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84250 and 84265, than apply into the LCM equation.

GCF(84250,84265) = 5
LCM(84250,84265) = ( 84250 × 84265) / 5
LCM(84250,84265) = 7099326250 / 5
LCM(84250,84265) = 1419865250

Least Common Multiple (LCM) of 84250 and 84265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84250 and 84265. First we will calculate the prime factors of 84250 and 84265.

Prime Factorization of 84250

Prime Factorization of 84265

Now multiplying the highest exponent prime factors to calculate the LCM of 84250 and 84265.

LCM(84250,84265) = 2¹ × 5³ × 337¹ × 19¹ × 887¹
LCM(84250,84265) = 1419865250