What is the Least Common Multiple of 98697 and 98706?

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 98697 and 98706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98697 and 98706, than apply into the LCM equation.

GCF(98697,98706) = 3
LCM(98697,98706) = ( 98697 × 98706) / 3
LCM(98697,98706) = 9741986082 / 3
LCM(98697,98706) = 3247328694

Least Common Multiple (LCM) of 98697 and 98706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98697 and 98706. First we will calculate the prime factors of 98697 and 98706.

Prime Factorization of 98697

Prime Factorization of 98706

Now multiplying the highest exponent prime factors to calculate the LCM of 98697 and 98706.

LCM(98697,98706) = 3¹ × 167¹ × 197¹ × 2¹ × 16451¹
LCM(98697,98706) = 3247328694