What is the Least Common Multiple of 36348 and 36367?

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 36348 and 36367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36348 and 36367, than apply into the LCM equation.

GCF(36348,36367) = 1
LCM(36348,36367) = ( 36348 × 36367) / 1
LCM(36348,36367) = 1321867716 / 1
LCM(36348,36367) = 1321867716

Least Common Multiple (LCM) of 36348 and 36367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36348 and 36367. First we will calculate the prime factors of 36348 and 36367.

Prime Factorization of 36348

Prime Factorization of 36367

Now multiplying the highest exponent prime factors to calculate the LCM of 36348 and 36367.

LCM(36348,36367) = 2² × 3¹ × 13¹ × 233¹ × 41¹ × 887¹
LCM(36348,36367) = 1321867716