What is the Least Common Multiple of 36678 and 36696?

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 36678 and 36696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36678 and 36696, than apply into the LCM equation.

GCF(36678,36696) = 6
LCM(36678,36696) = ( 36678 × 36696) / 6
LCM(36678,36696) = 1345935888 / 6
LCM(36678,36696) = 224322648

Least Common Multiple (LCM) of 36678 and 36696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36678 and 36696. First we will calculate the prime factors of 36678 and 36696.

Prime Factorization of 36678

Prime Factorization of 36696

Now multiplying the highest exponent prime factors to calculate the LCM of 36678 and 36696.

LCM(36678,36696) = 2³ × 3¹ × 6113¹ × 11¹ × 139¹
LCM(36678,36696) = 224322648