What is the Least Common Multiple of 66354 and 66361?

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 66354 and 66361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66354 and 66361, than apply into the LCM equation.

GCF(66354,66361) = 1
LCM(66354,66361) = ( 66354 × 66361) / 1
LCM(66354,66361) = 4403317794 / 1
LCM(66354,66361) = 4403317794

Least Common Multiple (LCM) of 66354 and 66361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66354 and 66361. First we will calculate the prime factors of 66354 and 66361.

Prime Factorization of 66354

Prime Factorization of 66361

Now multiplying the highest exponent prime factors to calculate the LCM of 66354 and 66361.

LCM(66354,66361) = 2¹ × 3¹ × 11059¹ × 66361¹
LCM(66354,66361) = 4403317794