What is the Least Common Multiple of 98912 and 98917?

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 98912 and 98917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98912 and 98917, than apply into the LCM equation.

GCF(98912,98917) = 1
LCM(98912,98917) = ( 98912 × 98917) / 1
LCM(98912,98917) = 9784078304 / 1
LCM(98912,98917) = 9784078304

Least Common Multiple (LCM) of 98912 and 98917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98912 and 98917. First we will calculate the prime factors of 98912 and 98917.

Prime Factorization of 98912

Prime Factorization of 98917

Now multiplying the highest exponent prime factors to calculate the LCM of 98912 and 98917.

LCM(98912,98917) = 2⁵ × 11¹ × 281¹ × 7¹ × 13¹ × 1087¹
LCM(98912,98917) = 9784078304