What is the Least Common Multiple of 39748 and 39767?

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 39748 and 39767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39748 and 39767, than apply into the LCM equation.

GCF(39748,39767) = 19
LCM(39748,39767) = ( 39748 × 39767) / 19
LCM(39748,39767) = 1580658716 / 19
LCM(39748,39767) = 83192564

Least Common Multiple (LCM) of 39748 and 39767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39748 and 39767. First we will calculate the prime factors of 39748 and 39767.

Prime Factorization of 39748

Prime Factorization of 39767

Now multiplying the highest exponent prime factors to calculate the LCM of 39748 and 39767.

LCM(39748,39767) = 2² × 19¹ × 523¹ × 7¹ × 13¹ × 23¹
LCM(39748,39767) = 83192564