What is the Least Common Multiple of 72354 and 72361?

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 72354 and 72361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72354 and 72361, than apply into the LCM equation.

GCF(72354,72361) = 1
LCM(72354,72361) = ( 72354 × 72361) / 1
LCM(72354,72361) = 5235607794 / 1
LCM(72354,72361) = 5235607794

Least Common Multiple (LCM) of 72354 and 72361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72354 and 72361. First we will calculate the prime factors of 72354 and 72361.

Prime Factorization of 72354

Prime Factorization of 72361

Now multiplying the highest exponent prime factors to calculate the LCM of 72354 and 72361.

LCM(72354,72361) = 2¹ × 3¹ × 31¹ × 389¹ × 269²
LCM(72354,72361) = 5235607794