What is the Least Common Multiple of 98943 and 98952?

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 98943 and 98952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98943 and 98952, than apply into the LCM equation.

GCF(98943,98952) = 3
LCM(98943,98952) = ( 98943 × 98952) / 3
LCM(98943,98952) = 9790607736 / 3
LCM(98943,98952) = 3263535912

Least Common Multiple (LCM) of 98943 and 98952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98943 and 98952. First we will calculate the prime factors of 98943 and 98952.

Prime Factorization of 98943

Prime Factorization of 98952

Now multiplying the highest exponent prime factors to calculate the LCM of 98943 and 98952.

LCM(98943,98952) = 3¹ × 13¹ × 43¹ × 59¹ × 2³ × 7¹ × 19¹ × 31¹
LCM(98943,98952) = 3263535912