What is the Least Common Multiple of 33769 and 33788?

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 33769 and 33788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33769 and 33788, than apply into the LCM equation.

GCF(33769,33788) = 1
LCM(33769,33788) = ( 33769 × 33788) / 1
LCM(33769,33788) = 1140986972 / 1
LCM(33769,33788) = 1140986972

Least Common Multiple (LCM) of 33769 and 33788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33769 and 33788. First we will calculate the prime factors of 33769 and 33788.

Prime Factorization of 33769

Prime Factorization of 33788

Now multiplying the highest exponent prime factors to calculate the LCM of 33769 and 33788.

LCM(33769,33788) = 33769¹ × 2² × 8447¹
LCM(33769,33788) = 1140986972