What is the Least Common Multiple of 80905 and 80921?

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 80905 and 80921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80905 and 80921, than apply into the LCM equation.

GCF(80905,80921) = 1
LCM(80905,80921) = ( 80905 × 80921) / 1
LCM(80905,80921) = 6546913505 / 1
LCM(80905,80921) = 6546913505

Least Common Multiple (LCM) of 80905 and 80921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80905 and 80921. First we will calculate the prime factors of 80905 and 80921.

Prime Factorization of 80905

Prime Factorization of 80921

Now multiplying the highest exponent prime factors to calculate the LCM of 80905 and 80921.

LCM(80905,80921) = 5¹ × 11¹ × 1471¹ × 19¹ × 4259¹
LCM(80905,80921) = 6546913505