What is the Least Common Multiple of 90338 and 90356?

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 90338 and 90356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90338 and 90356, than apply into the LCM equation.

GCF(90338,90356) = 2
LCM(90338,90356) = ( 90338 × 90356) / 2
LCM(90338,90356) = 8162580328 / 2
LCM(90338,90356) = 4081290164

Least Common Multiple (LCM) of 90338 and 90356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90338 and 90356. First we will calculate the prime factors of 90338 and 90356.

Prime Factorization of 90338

Prime Factorization of 90356

Now multiplying the highest exponent prime factors to calculate the LCM of 90338 and 90356.

LCM(90338,90356) = 2² × 17¹ × 2657¹ × 7² × 461¹
LCM(90338,90356) = 4081290164