What is the Least Common Multiple of 84695 and 84701?

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 84695 and 84701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84695 and 84701, than apply into the LCM equation.

GCF(84695,84701) = 1
LCM(84695,84701) = ( 84695 × 84701) / 1
LCM(84695,84701) = 7173751195 / 1
LCM(84695,84701) = 7173751195

Least Common Multiple (LCM) of 84695 and 84701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84695 and 84701. First we will calculate the prime factors of 84695 and 84701.

Prime Factorization of 84695

Prime Factorization of 84701

Now multiplying the highest exponent prime factors to calculate the LCM of 84695 and 84701.

LCM(84695,84701) = 5¹ × 13¹ × 1303¹ × 84701¹
LCM(84695,84701) = 7173751195