What is the Least Common Multiple of 90932 and 90949?

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 90932 and 90949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90932 and 90949, than apply into the LCM equation.

GCF(90932,90949) = 1
LCM(90932,90949) = ( 90932 × 90949) / 1
LCM(90932,90949) = 8270174468 / 1
LCM(90932,90949) = 8270174468

Least Common Multiple (LCM) of 90932 and 90949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90932 and 90949. First we will calculate the prime factors of 90932 and 90949.

Prime Factorization of 90932

Prime Factorization of 90949

Now multiplying the highest exponent prime factors to calculate the LCM of 90932 and 90949.

LCM(90932,90949) = 2² × 127¹ × 179¹ × 103¹ × 883¹
LCM(90932,90949) = 8270174468