What is the Least Common Multiple of 61349 and 61361?

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 of 61349 and 61361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61349 and 61361, than apply into the LCM equation.

GCF(61349,61361) = 1
LCM(61349,61361) = ( 61349 × 61361) / 1
LCM(61349,61361) = 3764435989 / 1
LCM(61349,61361) = 3764435989

Least Common Multiple (LCM) of 61349 and 61361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61349 and 61361. First we will calculate the prime factors of 61349 and 61361.

Prime Factorization of 61349

Prime Factorization of 61361

Now multiplying the highest exponent prime factors to calculate the LCM of 61349 and 61361.

LCM(61349,61361) = 31¹ × 1979¹ × 43¹ × 1427¹
LCM(61349,61361) = 3764435989