What is the Least Common Multiple of 36349 and 36358?

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 36349 and 36358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36349 and 36358, than apply into the LCM equation.

GCF(36349,36358) = 1
LCM(36349,36358) = ( 36349 × 36358) / 1
LCM(36349,36358) = 1321576942 / 1
LCM(36349,36358) = 1321576942

Least Common Multiple (LCM) of 36349 and 36358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36349 and 36358. First we will calculate the prime factors of 36349 and 36358.

Prime Factorization of 36349

Prime Factorization of 36358

Now multiplying the highest exponent prime factors to calculate the LCM of 36349 and 36358.

LCM(36349,36358) = 163¹ × 223¹ × 2¹ × 7³ × 53¹
LCM(36349,36358) = 1321576942