What is the Least Common Multiple of 36373 and 36386?

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 36373 and 36386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36373 and 36386, than apply into the LCM equation.

GCF(36373,36386) = 1
LCM(36373,36386) = ( 36373 × 36386) / 1
LCM(36373,36386) = 1323467978 / 1
LCM(36373,36386) = 1323467978

Least Common Multiple (LCM) of 36373 and 36386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36373 and 36386. First we will calculate the prime factors of 36373 and 36386.

Prime Factorization of 36373

Prime Factorization of 36386

Now multiplying the highest exponent prime factors to calculate the LCM of 36373 and 36386.

LCM(36373,36386) = 36373¹ × 2¹ × 7¹ × 23¹ × 113¹
LCM(36373,36386) = 1323467978