What is the Least Common Multiple of 90644 and 90648?

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 90644 and 90648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90644 and 90648, than apply into the LCM equation.

GCF(90644,90648) = 4
LCM(90644,90648) = ( 90644 × 90648) / 4
LCM(90644,90648) = 8216697312 / 4
LCM(90644,90648) = 2054174328

Least Common Multiple (LCM) of 90644 and 90648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90644 and 90648. First we will calculate the prime factors of 90644 and 90648.

Prime Factorization of 90644

Prime Factorization of 90648

Now multiplying the highest exponent prime factors to calculate the LCM of 90644 and 90648.

LCM(90644,90648) = 2³ × 17¹ × 31¹ × 43¹ × 3² × 1259¹
LCM(90644,90648) = 2054174328