What is the Least Common Multiple of 90578 and 90583?

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 90578 and 90583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90578 and 90583, than apply into the LCM equation.

GCF(90578,90583) = 1
LCM(90578,90583) = ( 90578 × 90583) / 1
LCM(90578,90583) = 8204826974 / 1
LCM(90578,90583) = 8204826974

Least Common Multiple (LCM) of 90578 and 90583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90578 and 90583. First we will calculate the prime factors of 90578 and 90583.

Prime Factorization of 90578

Prime Factorization of 90583

Now multiplying the highest exponent prime factors to calculate the LCM of 90578 and 90583.

LCM(90578,90583) = 2¹ × 45289¹ × 90583¹
LCM(90578,90583) = 8204826974