What is the Least Common Multiple of 33782 and 33802?

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 33782 and 33802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33782 and 33802, than apply into the LCM equation.

GCF(33782,33802) = 2
LCM(33782,33802) = ( 33782 × 33802) / 2
LCM(33782,33802) = 1141899164 / 2
LCM(33782,33802) = 570949582

Least Common Multiple (LCM) of 33782 and 33802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33782 and 33802. First we will calculate the prime factors of 33782 and 33802.

Prime Factorization of 33782

Prime Factorization of 33802

Now multiplying the highest exponent prime factors to calculate the LCM of 33782 and 33802.

LCM(33782,33802) = 2¹ × 7¹ × 19¹ × 127¹ × 16901¹
LCM(33782,33802) = 570949582