What is the Least Common Multiple of 29814 and 29823?

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 29814 and 29823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29814 and 29823, than apply into the LCM equation.

GCF(29814,29823) = 3
LCM(29814,29823) = ( 29814 × 29823) / 3
LCM(29814,29823) = 889142922 / 3
LCM(29814,29823) = 296380974

Least Common Multiple (LCM) of 29814 and 29823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29814 and 29823. First we will calculate the prime factors of 29814 and 29823.

Prime Factorization of 29814

Prime Factorization of 29823

Now multiplying the highest exponent prime factors to calculate the LCM of 29814 and 29823.

LCM(29814,29823) = 2¹ × 3¹ × 4969¹ × 9941¹
LCM(29814,29823) = 296380974