What is the Least Common Multiple of 97926 and 97943?

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 97926 and 97943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97926 and 97943, than apply into the LCM equation.

GCF(97926,97943) = 1
LCM(97926,97943) = ( 97926 × 97943) / 1
LCM(97926,97943) = 9591166218 / 1
LCM(97926,97943) = 9591166218

Least Common Multiple (LCM) of 97926 and 97943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97926 and 97943. First we will calculate the prime factors of 97926 and 97943.

Prime Factorization of 97926

Prime Factorization of 97943

Now multiplying the highest exponent prime factors to calculate the LCM of 97926 and 97943.

LCM(97926,97943) = 2¹ × 3¹ × 19¹ × 859¹ × 97943¹
LCM(97926,97943) = 9591166218