What is the Least Common Multiple of 90340 and 90349?

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 90340 and 90349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90340 and 90349, than apply into the LCM equation.

GCF(90340,90349) = 1
LCM(90340,90349) = ( 90340 × 90349) / 1
LCM(90340,90349) = 8162128660 / 1
LCM(90340,90349) = 8162128660

Least Common Multiple (LCM) of 90340 and 90349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90340 and 90349. First we will calculate the prime factors of 90340 and 90349.

Prime Factorization of 90340

Prime Factorization of 90349

Now multiplying the highest exponent prime factors to calculate the LCM of 90340 and 90349.

LCM(90340,90349) = 2² × 5¹ × 4517¹ × 7¹ × 12907¹
LCM(90340,90349) = 8162128660