What is the Least Common Multiple of 36708 and 36714?

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 36708 and 36714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36708 and 36714, than apply into the LCM equation.

GCF(36708,36714) = 6
LCM(36708,36714) = ( 36708 × 36714) / 6
LCM(36708,36714) = 1347697512 / 6
LCM(36708,36714) = 224616252

Least Common Multiple (LCM) of 36708 and 36714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36708 and 36714. First we will calculate the prime factors of 36708 and 36714.

Prime Factorization of 36708

Prime Factorization of 36714

Now multiplying the highest exponent prime factors to calculate the LCM of 36708 and 36714.

LCM(36708,36714) = 2² × 3¹ × 7¹ × 19¹ × 23¹ × 29¹ × 211¹
LCM(36708,36714) = 224616252