What is the Least Common Multiple of 90923 and 90941?

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 90923 and 90941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90923 and 90941, than apply into the LCM equation.

GCF(90923,90941) = 1
LCM(90923,90941) = ( 90923 × 90941) / 1
LCM(90923,90941) = 8268628543 / 1
LCM(90923,90941) = 8268628543

Least Common Multiple (LCM) of 90923 and 90941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90923 and 90941. First we will calculate the prime factors of 90923 and 90941.

Prime Factorization of 90923

Prime Factorization of 90941

Now multiplying the highest exponent prime factors to calculate the LCM of 90923 and 90941.

LCM(90923,90941) = 7¹ × 31¹ × 419¹ × 211¹ × 431¹
LCM(90923,90941) = 8268628543