What is the Least Common Multiple of 36678 and 36698?

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 36698 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 36698, than apply into the LCM equation.

GCF(36678,36698) = 2
LCM(36678,36698) = ( 36678 × 36698) / 2
LCM(36678,36698) = 1346009244 / 2
LCM(36678,36698) = 673004622

Least Common Multiple (LCM) of 36678 and 36698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36678 and 36698. First we will calculate the prime factors of 36678 and 36698.

Prime Factorization of 36678

Prime Factorization of 36698

Now multiplying the highest exponent prime factors to calculate the LCM of 36678 and 36698.

LCM(36678,36698) = 2¹ × 3¹ × 6113¹ × 59¹ × 311¹
LCM(36678,36698) = 673004622