GCF and LCM Calculator Logo

What is the Least Common Multiple of 60351 and 60361?

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 60351 and 60361 is 3642846711.

LCM(60351,60361) = 3642846711

LCM Calculator and
and

Least Common Multiple of 60351 and 60361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60351 and 60361, than apply into the LCM equation.

GCF(60351,60361) = 1
LCM(60351,60361) = ( 60351 × 60361) / 1
LCM(60351,60361) = 3642846711 / 1
LCM(60351,60361) = 3642846711

Least Common Multiple (LCM) of 60351 and 60361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60351 and 60361. First we will calculate the prime factors of 60351 and 60361.

Prime Factorization of 60351

Prime factors of 60351 are 3, 20117. Prime factorization of 60351 in exponential form is:

60351 = 31 × 201171

Prime Factorization of 60361

Prime factors of 60361 are 7, 8623. Prime factorization of 60361 in exponential form is:

60361 = 71 × 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 60351 and 60361.

LCM(60351,60361) = 31 × 201171 × 71 × 86231
LCM(60351,60361) = 3642846711