What is the Least Common Multiple of 29678 and 29684?

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 29678 and 29684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29678 and 29684, than apply into the LCM equation.

GCF(29678,29684) = 2
LCM(29678,29684) = ( 29678 × 29684) / 2
LCM(29678,29684) = 880961752 / 2
LCM(29678,29684) = 440480876

Least Common Multiple (LCM) of 29678 and 29684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29678 and 29684. First we will calculate the prime factors of 29678 and 29684.

Prime Factorization of 29678

Prime Factorization of 29684

Now multiplying the highest exponent prime factors to calculate the LCM of 29678 and 29684.

LCM(29678,29684) = 2² × 11¹ × 19¹ × 71¹ × 41¹ × 181¹
LCM(29678,29684) = 440480876