What is the Least Common Multiple of 84309 and 84313?

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 84309 and 84313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84309 and 84313, than apply into the LCM equation.

GCF(84309,84313) = 1
LCM(84309,84313) = ( 84309 × 84313) / 1
LCM(84309,84313) = 7108344717 / 1
LCM(84309,84313) = 7108344717

Least Common Multiple (LCM) of 84309 and 84313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84309 and 84313. First we will calculate the prime factors of 84309 and 84313.

Prime Factorization of 84309

Prime Factorization of 84313

Now multiplying the highest exponent prime factors to calculate the LCM of 84309 and 84313.

LCM(84309,84313) = 3¹ × 157¹ × 179¹ × 84313¹
LCM(84309,84313) = 7108344717