What is the Least Common Multiple of 36614 and 36634?

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 36614 and 36634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36614 and 36634, than apply into the LCM equation.

GCF(36614,36634) = 2
LCM(36614,36634) = ( 36614 × 36634) / 2
LCM(36614,36634) = 1341317276 / 2
LCM(36614,36634) = 670658638

Least Common Multiple (LCM) of 36614 and 36634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36614 and 36634. First we will calculate the prime factors of 36614 and 36634.

Prime Factorization of 36614

Prime Factorization of 36634

Now multiplying the highest exponent prime factors to calculate the LCM of 36614 and 36634.

LCM(36614,36634) = 2¹ × 18307¹ × 13¹ × 1409¹
LCM(36614,36634) = 670658638