What is the Least Common Multiple of 90345 and 90364?

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 90345 and 90364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90345 and 90364, than apply into the LCM equation.

GCF(90345,90364) = 19
LCM(90345,90364) = ( 90345 × 90364) / 19
LCM(90345,90364) = 8163935580 / 19
LCM(90345,90364) = 429680820

Least Common Multiple (LCM) of 90345 and 90364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90345 and 90364. First we will calculate the prime factors of 90345 and 90364.

Prime Factorization of 90345

Prime Factorization of 90364

Now multiplying the highest exponent prime factors to calculate the LCM of 90345 and 90364.

LCM(90345,90364) = 3¹ × 5¹ × 19¹ × 317¹ × 2² × 29¹ × 41¹
LCM(90345,90364) = 429680820