What is the Least Common Multiple of 90380 and 90391?

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 90380 and 90391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90380 and 90391, than apply into the LCM equation.

GCF(90380,90391) = 1
LCM(90380,90391) = ( 90380 × 90391) / 1
LCM(90380,90391) = 8169538580 / 1
LCM(90380,90391) = 8169538580

Least Common Multiple (LCM) of 90380 and 90391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90380 and 90391. First we will calculate the prime factors of 90380 and 90391.

Prime Factorization of 90380

Prime Factorization of 90391

Now multiplying the highest exponent prime factors to calculate the LCM of 90380 and 90391.

LCM(90380,90391) = 2² × 5¹ × 4519¹ × 7¹ × 37¹ × 349¹
LCM(90380,90391) = 8169538580