What is the Least Common Multiple of 98546 and 98561?

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 98546 and 98561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98546 and 98561, than apply into the LCM equation.

GCF(98546,98561) = 1
LCM(98546,98561) = ( 98546 × 98561) / 1
LCM(98546,98561) = 9712792306 / 1
LCM(98546,98561) = 9712792306

Least Common Multiple (LCM) of 98546 and 98561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98546 and 98561. First we will calculate the prime factors of 98546 and 98561.

Prime Factorization of 98546

Prime Factorization of 98561

Now multiplying the highest exponent prime factors to calculate the LCM of 98546 and 98561.

LCM(98546,98561) = 2¹ × 7¹ × 7039¹ × 98561¹
LCM(98546,98561) = 9712792306