What is the Least Common Multiple of 33762 and 33778?

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 33762 and 33778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33762 and 33778, than apply into the LCM equation.

GCF(33762,33778) = 2
LCM(33762,33778) = ( 33762 × 33778) / 2
LCM(33762,33778) = 1140412836 / 2
LCM(33762,33778) = 570206418

Least Common Multiple (LCM) of 33762 and 33778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33762 and 33778. First we will calculate the prime factors of 33762 and 33778.

Prime Factorization of 33762

Prime Factorization of 33778

Now multiplying the highest exponent prime factors to calculate the LCM of 33762 and 33778.

LCM(33762,33778) = 2¹ × 3¹ × 17¹ × 331¹ × 16889¹
LCM(33762,33778) = 570206418