What is the Least Common Multiple of 90626 and 90641?

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 90626 and 90641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90626 and 90641, than apply into the LCM equation.

GCF(90626,90641) = 1
LCM(90626,90641) = ( 90626 × 90641) / 1
LCM(90626,90641) = 8214431266 / 1
LCM(90626,90641) = 8214431266

Least Common Multiple (LCM) of 90626 and 90641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90626 and 90641. First we will calculate the prime factors of 90626 and 90641.

Prime Factorization of 90626

Prime Factorization of 90641

Now multiplying the highest exponent prime factors to calculate the LCM of 90626 and 90641.

LCM(90626,90641) = 2¹ × 113¹ × 401¹ × 90641¹
LCM(90626,90641) = 8214431266