What is the Least Common Multiple of 84697 and 84708?

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 84697 and 84708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84697 and 84708, than apply into the LCM equation.

GCF(84697,84708) = 1
LCM(84697,84708) = ( 84697 × 84708) / 1
LCM(84697,84708) = 7174513476 / 1
LCM(84697,84708) = 7174513476

Least Common Multiple (LCM) of 84697 and 84708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84697 and 84708. First we will calculate the prime factors of 84697 and 84708.

Prime Factorization of 84697

Prime Factorization of 84708

Now multiplying the highest exponent prime factors to calculate the LCM of 84697 and 84708.

LCM(84697,84708) = 84697¹ × 2² × 3² × 13¹ × 181¹
LCM(84697,84708) = 7174513476