What is the Least Common Multiple of 39514 and 39533?

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 39533 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 39533, than apply into the LCM equation.

GCF(39514,39533) = 1
LCM(39514,39533) = ( 39514 × 39533) / 1
LCM(39514,39533) = 1562106962 / 1
LCM(39514,39533) = 1562106962

Least Common Multiple (LCM) of 39514 and 39533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39514 and 39533. First we will calculate the prime factors of 39514 and 39533.

Prime Factorization of 39514

Prime Factorization of 39533

Now multiplying the highest exponent prime factors to calculate the LCM of 39514 and 39533.

LCM(39514,39533) = 2¹ × 23¹ × 859¹ × 13¹ × 3041¹
LCM(39514,39533) = 1562106962