What is the Least Common Multiple of 90938 and 90943?

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 90938 and 90943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90938 and 90943, than apply into the LCM equation.

GCF(90938,90943) = 1
LCM(90938,90943) = ( 90938 × 90943) / 1
LCM(90938,90943) = 8270174534 / 1
LCM(90938,90943) = 8270174534

Least Common Multiple (LCM) of 90938 and 90943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90938 and 90943. First we will calculate the prime factors of 90938 and 90943.

Prime Factorization of 90938

Prime Factorization of 90943

Now multiplying the highest exponent prime factors to calculate the LCM of 90938 and 90943.

LCM(90938,90943) = 2¹ × 41¹ × 1109¹ × 199¹ × 457¹
LCM(90938,90943) = 8270174534