What is the Least Common Multiple of 32762 and 32767?

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 32762 and 32767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32762 and 32767, than apply into the LCM equation.

GCF(32762,32767) = 1
LCM(32762,32767) = ( 32762 × 32767) / 1
LCM(32762,32767) = 1073512454 / 1
LCM(32762,32767) = 1073512454

Least Common Multiple (LCM) of 32762 and 32767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32762 and 32767. First we will calculate the prime factors of 32762 and 32767.

Prime Factorization of 32762

Prime Factorization of 32767

Now multiplying the highest exponent prime factors to calculate the LCM of 32762 and 32767.

LCM(32762,32767) = 2¹ × 16381¹ × 7¹ × 31¹ × 151¹
LCM(32762,32767) = 1073512454