What is the Least Common Multiple of 33748 and 33767?

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 33748 and 33767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33748 and 33767, than apply into the LCM equation.

GCF(33748,33767) = 1
LCM(33748,33767) = ( 33748 × 33767) / 1
LCM(33748,33767) = 1139568716 / 1
LCM(33748,33767) = 1139568716

Least Common Multiple (LCM) of 33748 and 33767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33748 and 33767. First we will calculate the prime factors of 33748 and 33767.

Prime Factorization of 33748

Prime Factorization of 33767

Now multiplying the highest exponent prime factors to calculate the LCM of 33748 and 33767.

LCM(33748,33767) = 2² × 11¹ × 13¹ × 59¹ × 33767¹
LCM(33748,33767) = 1139568716