What is the Least Common Multiple of 29805 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 29805 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 29805 and 29814, than apply into the LCM equation.

GCF(29805,29814) = 3
LCM(29805,29814) = ( 29805 × 29814) / 3
LCM(29805,29814) = 888606270 / 3
LCM(29805,29814) = 296202090

Least Common Multiple (LCM) of 29805 and 29814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29805 and 29814. First we will calculate the prime factors of 29805 and 29814.

Prime Factorization of 29805

Prime Factorization of 29814

Now multiplying the highest exponent prime factors to calculate the LCM of 29805 and 29814.

LCM(29805,29814) = 3¹ × 5¹ × 1987¹ × 2¹ × 4969¹
LCM(29805,29814) = 296202090