What is the Least Common Multiple of 90308 and 90322?

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 90308 and 90322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90308 and 90322, than apply into the LCM equation.

GCF(90308,90322) = 2
LCM(90308,90322) = ( 90308 × 90322) / 2
LCM(90308,90322) = 8156799176 / 2
LCM(90308,90322) = 4078399588

Least Common Multiple (LCM) of 90308 and 90322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90308 and 90322. First we will calculate the prime factors of 90308 and 90322.

Prime Factorization of 90308

Prime Factorization of 90322

Now multiplying the highest exponent prime factors to calculate the LCM of 90308 and 90322.

LCM(90308,90322) = 2² × 107¹ × 211¹ × 45161¹
LCM(90308,90322) = 4078399588