What is the Least Common Multiple of 36344 and 36357?

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 36344 and 36357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36344 and 36357, than apply into the LCM equation.

GCF(36344,36357) = 1
LCM(36344,36357) = ( 36344 × 36357) / 1
LCM(36344,36357) = 1321358808 / 1
LCM(36344,36357) = 1321358808

Least Common Multiple (LCM) of 36344 and 36357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36344 and 36357. First we will calculate the prime factors of 36344 and 36357.

Prime Factorization of 36344

Prime Factorization of 36357

Now multiplying the highest exponent prime factors to calculate the LCM of 36344 and 36357.

LCM(36344,36357) = 2³ × 7¹ × 11¹ × 59¹ × 3¹ × 12119¹
LCM(36344,36357) = 1321358808