What is the Least Common Multiple of 39806 and 39815?

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 39806 and 39815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39806 and 39815, than apply into the LCM equation.

GCF(39806,39815) = 1
LCM(39806,39815) = ( 39806 × 39815) / 1
LCM(39806,39815) = 1584875890 / 1
LCM(39806,39815) = 1584875890

Least Common Multiple (LCM) of 39806 and 39815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39806 and 39815. First we will calculate the prime factors of 39806 and 39815.

Prime Factorization of 39806

Prime Factorization of 39815

Now multiplying the highest exponent prime factors to calculate the LCM of 39806 and 39815.

LCM(39806,39815) = 2¹ × 13¹ × 1531¹ × 5¹ × 7963¹
LCM(39806,39815) = 1584875890