GCF and LCM Calculator Logo

What is the Least Common Multiple of 8362 and 8380?

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 8362 and 8380 is 35036780.

LCM(8362,8380) = 35036780

LCM Calculator and
and

Least Common Multiple of 8362 and 8380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8362 and 8380, than apply into the LCM equation.

GCF(8362,8380) = 2
LCM(8362,8380) = ( 8362 × 8380) / 2
LCM(8362,8380) = 70073560 / 2
LCM(8362,8380) = 35036780

Least Common Multiple (LCM) of 8362 and 8380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8380. First we will calculate the prime factors of 8362 and 8380.

Prime Factorization of 8362

Prime factors of 8362 are 2, 37, 113. Prime factorization of 8362 in exponential form is:

8362 = 21 × 371 × 1131

Prime Factorization of 8380

Prime factors of 8380 are 2, 5, 419. Prime factorization of 8380 in exponential form is:

8380 = 22 × 51 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 8362 and 8380.

LCM(8362,8380) = 22 × 371 × 1131 × 51 × 4191
LCM(8362,8380) = 35036780