What is the Least Common Multiple of 36714 and 36726?

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 36714 and 36726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36714 and 36726, than apply into the LCM equation.

GCF(36714,36726) = 6
LCM(36714,36726) = ( 36714 × 36726) / 6
LCM(36714,36726) = 1348358364 / 6
LCM(36714,36726) = 224726394

Least Common Multiple (LCM) of 36714 and 36726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36714 and 36726. First we will calculate the prime factors of 36714 and 36726.

Prime Factorization of 36714

Prime Factorization of 36726

Now multiplying the highest exponent prime factors to calculate the LCM of 36714 and 36726.

LCM(36714,36726) = 2¹ × 3¹ × 29¹ × 211¹ × 6121¹
LCM(36714,36726) = 224726394