GCF and LCM Calculator Logo

What is the Least Common Multiple of 80337 and 80355?

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 (LCM) of 80337 and 80355 is 2151826545.

LCM(80337,80355) = 2151826545

LCM Calculator and
and

Least Common Multiple of 80337 and 80355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80337 and 80355, than apply into the LCM equation.

GCF(80337,80355) = 3
LCM(80337,80355) = ( 80337 × 80355) / 3
LCM(80337,80355) = 6455479635 / 3
LCM(80337,80355) = 2151826545

Least Common Multiple (LCM) of 80337 and 80355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80337 and 80355. First we will calculate the prime factors of 80337 and 80355.

Prime Factorization of 80337

Prime factors of 80337 are 3, 61, 439. Prime factorization of 80337 in exponential form is:

80337 = 31 × 611 × 4391

Prime Factorization of 80355

Prime factors of 80355 are 3, 5, 11, 487. Prime factorization of 80355 in exponential form is:

80355 = 31 × 51 × 111 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 80337 and 80355.

LCM(80337,80355) = 31 × 611 × 4391 × 51 × 111 × 4871
LCM(80337,80355) = 2151826545