What is the Least Common Multiple of 36608 and 36614?

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 36608 and 36614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36608 and 36614, than apply into the LCM equation.

GCF(36608,36614) = 2
LCM(36608,36614) = ( 36608 × 36614) / 2
LCM(36608,36614) = 1340365312 / 2
LCM(36608,36614) = 670182656

Least Common Multiple (LCM) of 36608 and 36614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36608 and 36614. First we will calculate the prime factors of 36608 and 36614.

Prime Factorization of 36608

Prime Factorization of 36614

Now multiplying the highest exponent prime factors to calculate the LCM of 36608 and 36614.

LCM(36608,36614) = 2⁸ × 11¹ × 13¹ × 18307¹
LCM(36608,36614) = 670182656