What is the Least Common Multiple of 38752 and 38767?

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 38752 and 38767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38752 and 38767, than apply into the LCM equation.

GCF(38752,38767) = 1
LCM(38752,38767) = ( 38752 × 38767) / 1
LCM(38752,38767) = 1502298784 / 1
LCM(38752,38767) = 1502298784

Least Common Multiple (LCM) of 38752 and 38767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38752 and 38767. First we will calculate the prime factors of 38752 and 38767.

Prime Factorization of 38752

Prime Factorization of 38767

Now multiplying the highest exponent prime factors to calculate the LCM of 38752 and 38767.

LCM(38752,38767) = 2⁵ × 7¹ × 173¹ × 38767¹
LCM(38752,38767) = 1502298784