What is the Least Common Multiple of 29109 and 29124?

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 29109 and 29124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29109 and 29124, than apply into the LCM equation.

GCF(29109,29124) = 3
LCM(29109,29124) = ( 29109 × 29124) / 3
LCM(29109,29124) = 847770516 / 3
LCM(29109,29124) = 282590172

Least Common Multiple (LCM) of 29109 and 29124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29109 and 29124. First we will calculate the prime factors of 29109 and 29124.

Prime Factorization of 29109

Prime Factorization of 29124

Now multiplying the highest exponent prime factors to calculate the LCM of 29109 and 29124.

LCM(29109,29124) = 3² × 31¹ × 313¹ × 2² × 809¹
LCM(29109,29124) = 282590172