What is the Least Common Multiple of 90792 and 90798?

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 90792 and 90798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90792 and 90798, than apply into the LCM equation.

GCF(90792,90798) = 6
LCM(90792,90798) = ( 90792 × 90798) / 6
LCM(90792,90798) = 8243732016 / 6
LCM(90792,90798) = 1373955336

Least Common Multiple (LCM) of 90792 and 90798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90792 and 90798. First we will calculate the prime factors of 90792 and 90798.

Prime Factorization of 90792

Prime Factorization of 90798

Now multiplying the highest exponent prime factors to calculate the LCM of 90792 and 90798.

LCM(90792,90798) = 2³ × 3² × 13¹ × 97¹ × 37¹ × 409¹
LCM(90792,90798) = 1373955336