What is the Least Common Multiple of 80901 and 80915?

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 80901 and 80915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80901 and 80915, than apply into the LCM equation.

GCF(80901,80915) = 1
LCM(80901,80915) = ( 80901 × 80915) / 1
LCM(80901,80915) = 6546104415 / 1
LCM(80901,80915) = 6546104415

Least Common Multiple (LCM) of 80901 and 80915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80901 and 80915. First we will calculate the prime factors of 80901 and 80915.

Prime Factorization of 80901

Prime Factorization of 80915

Now multiplying the highest exponent prime factors to calculate the LCM of 80901 and 80915.

LCM(80901,80915) = 3² × 89¹ × 101¹ × 5¹ × 16183¹
LCM(80901,80915) = 6546104415