What is the Least Common Multiple of 26347 and 26361?

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 26347 and 26361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26347 and 26361, than apply into the LCM equation.

GCF(26347,26361) = 1
LCM(26347,26361) = ( 26347 × 26361) / 1
LCM(26347,26361) = 694533267 / 1
LCM(26347,26361) = 694533267

Least Common Multiple (LCM) of 26347 and 26361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26347 and 26361. First we will calculate the prime factors of 26347 and 26361.

Prime Factorization of 26347

Prime Factorization of 26361

Now multiplying the highest exponent prime factors to calculate the LCM of 26347 and 26361.

LCM(26347,26361) = 26347¹ × 3² × 29¹ × 101¹
LCM(26347,26361) = 694533267