What is the Least Common Multiple of 39514 and 39530?

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 39514 and 39530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39514 and 39530, than apply into the LCM equation.

GCF(39514,39530) = 2
LCM(39514,39530) = ( 39514 × 39530) / 2
LCM(39514,39530) = 1561988420 / 2
LCM(39514,39530) = 780994210

Least Common Multiple (LCM) of 39514 and 39530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39514 and 39530. First we will calculate the prime factors of 39514 and 39530.

Prime Factorization of 39514

Prime Factorization of 39530

Now multiplying the highest exponent prime factors to calculate the LCM of 39514 and 39530.

LCM(39514,39530) = 2¹ × 23¹ × 859¹ × 5¹ × 59¹ × 67¹
LCM(39514,39530) = 780994210