What is the Least Common Multiple of 36806 and 36826?

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 36806 and 36826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36806 and 36826, than apply into the LCM equation.

GCF(36806,36826) = 2
LCM(36806,36826) = ( 36806 × 36826) / 2
LCM(36806,36826) = 1355417756 / 2
LCM(36806,36826) = 677708878

Least Common Multiple (LCM) of 36806 and 36826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36806 and 36826. First we will calculate the prime factors of 36806 and 36826.

Prime Factorization of 36806

Prime Factorization of 36826

Now multiplying the highest exponent prime factors to calculate the LCM of 36806 and 36826.

LCM(36806,36826) = 2¹ × 7¹ × 11¹ × 239¹ × 18413¹
LCM(36806,36826) = 677708878