What is the Least Common Multiple of 98461 and 98478?

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 98461 and 98478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98461 and 98478, than apply into the LCM equation.

GCF(98461,98478) = 1
LCM(98461,98478) = ( 98461 × 98478) / 1
LCM(98461,98478) = 9696242358 / 1
LCM(98461,98478) = 9696242358

Least Common Multiple (LCM) of 98461 and 98478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98461 and 98478. First we will calculate the prime factors of 98461 and 98478.

Prime Factorization of 98461

Prime Factorization of 98478

Now multiplying the highest exponent prime factors to calculate the LCM of 98461 and 98478.

LCM(98461,98478) = 11¹ × 8951¹ × 2¹ × 3² × 5471¹
LCM(98461,98478) = 9696242358