What is the Least Common Multiple of 29782 and 29802?

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 29782 and 29802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29782 and 29802, than apply into the LCM equation.

GCF(29782,29802) = 2
LCM(29782,29802) = ( 29782 × 29802) / 2
LCM(29782,29802) = 887563164 / 2
LCM(29782,29802) = 443781582

Least Common Multiple (LCM) of 29782 and 29802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29782 and 29802. First we will calculate the prime factors of 29782 and 29802.

Prime Factorization of 29782

Prime Factorization of 29802

Now multiplying the highest exponent prime factors to calculate the LCM of 29782 and 29802.

LCM(29782,29802) = 2¹ × 14891¹ × 3¹ × 4967¹
LCM(29782,29802) = 443781582