GCF and LCM Calculator Logo

What is the Least Common Multiple of 2350 and 2361?

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 2350 and 2361 is 5548350.

LCM(2350,2361) = 5548350

LCM Calculator and
and

Least Common Multiple of 2350 and 2361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2350 and 2361, than apply into the LCM equation.

GCF(2350,2361) = 1
LCM(2350,2361) = ( 2350 × 2361) / 1
LCM(2350,2361) = 5548350 / 1
LCM(2350,2361) = 5548350

Least Common Multiple (LCM) of 2350 and 2361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2350 and 2361. First we will calculate the prime factors of 2350 and 2361.

Prime Factorization of 2350

Prime factors of 2350 are 2, 5, 47. Prime factorization of 2350 in exponential form is:

2350 = 21 × 52 × 471

Prime Factorization of 2361

Prime factors of 2361 are 3, 787. Prime factorization of 2361 in exponential form is:

2361 = 31 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 2350 and 2361.

LCM(2350,2361) = 21 × 52 × 471 × 31 × 7871
LCM(2350,2361) = 5548350