What is the Least Common Multiple of 29183 and 29203?

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 29183 and 29203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29183 and 29203, than apply into the LCM equation.

GCF(29183,29203) = 1
LCM(29183,29203) = ( 29183 × 29203) / 1
LCM(29183,29203) = 852231149 / 1
LCM(29183,29203) = 852231149

Least Common Multiple (LCM) of 29183 and 29203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29183 and 29203. First we will calculate the prime factors of 29183 and 29203.

Prime Factorization of 29183

Prime Factorization of 29203

Now multiplying the highest exponent prime factors to calculate the LCM of 29183 and 29203.

LCM(29183,29203) = 7¹ × 11¹ × 379¹ × 19¹ × 29¹ × 53¹
LCM(29183,29203) = 852231149