What is the Least Common Multiple of 29804 and 29814?

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 29804 and 29814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29804 and 29814, than apply into the LCM equation.

GCF(29804,29814) = 2
LCM(29804,29814) = ( 29804 × 29814) / 2
LCM(29804,29814) = 888576456 / 2
LCM(29804,29814) = 444288228

Least Common Multiple (LCM) of 29804 and 29814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29804 and 29814. First we will calculate the prime factors of 29804 and 29814.

Prime Factorization of 29804

Prime Factorization of 29814

Now multiplying the highest exponent prime factors to calculate the LCM of 29804 and 29814.

LCM(29804,29814) = 2² × 7451¹ × 3¹ × 4969¹
LCM(29804,29814) = 444288228