What is the Least Common Multiple of 29238 and 29246?

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 29238 and 29246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29238 and 29246, than apply into the LCM equation.

GCF(29238,29246) = 2
LCM(29238,29246) = ( 29238 × 29246) / 2
LCM(29238,29246) = 855094548 / 2
LCM(29238,29246) = 427547274

Least Common Multiple (LCM) of 29238 and 29246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29238 and 29246. First we will calculate the prime factors of 29238 and 29246.

Prime Factorization of 29238

Prime Factorization of 29246

Now multiplying the highest exponent prime factors to calculate the LCM of 29238 and 29246.

LCM(29238,29246) = 2¹ × 3¹ × 11¹ × 443¹ × 7¹ × 2089¹
LCM(29238,29246) = 427547274