What is the Least Common Multiple of 39746 and 39752?

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 39746 and 39752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39746 and 39752, than apply into the LCM equation.

GCF(39746,39752) = 2
LCM(39746,39752) = ( 39746 × 39752) / 2
LCM(39746,39752) = 1579982992 / 2
LCM(39746,39752) = 789991496

Least Common Multiple (LCM) of 39746 and 39752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39746 and 39752. First we will calculate the prime factors of 39746 and 39752.

Prime Factorization of 39746

Prime Factorization of 39752

Now multiplying the highest exponent prime factors to calculate the LCM of 39746 and 39752.

LCM(39746,39752) = 2³ × 7¹ × 17¹ × 167¹ × 4969¹
LCM(39746,39752) = 789991496