What is the Least Common Multiple of 90906 and 90915?

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 90906 and 90915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90906 and 90915, than apply into the LCM equation.

GCF(90906,90915) = 3
LCM(90906,90915) = ( 90906 × 90915) / 3
LCM(90906,90915) = 8264718990 / 3
LCM(90906,90915) = 2754906330

Least Common Multiple (LCM) of 90906 and 90915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90906 and 90915. First we will calculate the prime factors of 90906 and 90915.

Prime Factorization of 90906

Prime Factorization of 90915

Now multiplying the highest exponent prime factors to calculate the LCM of 90906 and 90915.

LCM(90906,90915) = 2¹ × 3¹ × 109¹ × 139¹ × 5¹ × 11¹ × 19¹ × 29¹
LCM(90906,90915) = 2754906330