What is the Least Common Multiple of 79348 and 79361?

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 79348 and 79361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79348 and 79361, than apply into the LCM equation.

GCF(79348,79361) = 1
LCM(79348,79361) = ( 79348 × 79361) / 1
LCM(79348,79361) = 6297136628 / 1
LCM(79348,79361) = 6297136628

Least Common Multiple (LCM) of 79348 and 79361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79348 and 79361. First we will calculate the prime factors of 79348 and 79361.

Prime Factorization of 79348

Prime Factorization of 79361

Now multiplying the highest exponent prime factors to calculate the LCM of 79348 and 79361.

LCM(79348,79361) = 2² × 83¹ × 239¹ × 61¹ × 1301¹
LCM(79348,79361) = 6297136628