What is the Least Common Multiple of 98982 and 98991?

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 98982 and 98991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98982 and 98991, than apply into the LCM equation.

GCF(98982,98991) = 9
LCM(98982,98991) = ( 98982 × 98991) / 9
LCM(98982,98991) = 9798327162 / 9
LCM(98982,98991) = 1088703018

Least Common Multiple (LCM) of 98982 and 98991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98982 and 98991. First we will calculate the prime factors of 98982 and 98991.

Prime Factorization of 98982

Prime Factorization of 98991

Now multiplying the highest exponent prime factors to calculate the LCM of 98982 and 98991.

LCM(98982,98991) = 2¹ × 3⁴ × 13¹ × 47¹ × 17¹ × 647¹
LCM(98982,98991) = 1088703018