What is the Least Common Multiple of 39616 and 39634?

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 39616 and 39634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39616 and 39634, than apply into the LCM equation.

GCF(39616,39634) = 2
LCM(39616,39634) = ( 39616 × 39634) / 2
LCM(39616,39634) = 1570140544 / 2
LCM(39616,39634) = 785070272

Least Common Multiple (LCM) of 39616 and 39634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39616 and 39634. First we will calculate the prime factors of 39616 and 39634.

Prime Factorization of 39616

Prime Factorization of 39634

Now multiplying the highest exponent prime factors to calculate the LCM of 39616 and 39634.

LCM(39616,39634) = 2⁶ × 619¹ × 7¹ × 19¹ × 149¹
LCM(39616,39634) = 785070272