What is the Least Common Multiple of 39123 and 39143?

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 39123 and 39143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39123 and 39143, than apply into the LCM equation.

GCF(39123,39143) = 1
LCM(39123,39143) = ( 39123 × 39143) / 1
LCM(39123,39143) = 1531391589 / 1
LCM(39123,39143) = 1531391589

Least Common Multiple (LCM) of 39123 and 39143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39123 and 39143. First we will calculate the prime factors of 39123 and 39143.

Prime Factorization of 39123

Prime Factorization of 39143

Now multiplying the highest exponent prime factors to calculate the LCM of 39123 and 39143.

LCM(39123,39143) = 3⁵ × 7¹ × 23¹ × 13¹ × 3011¹
LCM(39123,39143) = 1531391589