GCF and LCM Calculator Logo

What is the Least Common Multiple of 80330 and 80337?

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 80330 and 80337 is 6453471210.

LCM(80330,80337) = 6453471210

LCM Calculator and
and

Least Common Multiple of 80330 and 80337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80330 and 80337, than apply into the LCM equation.

GCF(80330,80337) = 1
LCM(80330,80337) = ( 80330 × 80337) / 1
LCM(80330,80337) = 6453471210 / 1
LCM(80330,80337) = 6453471210

Least Common Multiple (LCM) of 80330 and 80337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80330 and 80337. First we will calculate the prime factors of 80330 and 80337.

Prime Factorization of 80330

Prime factors of 80330 are 2, 5, 29, 277. Prime factorization of 80330 in exponential form is:

80330 = 21 × 51 × 291 × 2771

Prime Factorization of 80337

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

80337 = 31 × 611 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 80330 and 80337.

LCM(80330,80337) = 21 × 51 × 291 × 2771 × 31 × 611 × 4391
LCM(80330,80337) = 6453471210