What is the Least Common Multiple of 29684 and 29702?

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 29684 and 29702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29684 and 29702, than apply into the LCM equation.

GCF(29684,29702) = 2
LCM(29684,29702) = ( 29684 × 29702) / 2
LCM(29684,29702) = 881674168 / 2
LCM(29684,29702) = 440837084

Least Common Multiple (LCM) of 29684 and 29702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29684 and 29702. First we will calculate the prime factors of 29684 and 29702.

Prime Factorization of 29684

Prime Factorization of 29702

Now multiplying the highest exponent prime factors to calculate the LCM of 29684 and 29702.

LCM(29684,29702) = 2² × 41¹ × 181¹ × 14851¹
LCM(29684,29702) = 440837084