What is the Least Common Multiple of 9238 and 9246?

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 9238 and 9246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9238 and 9246, than apply into the LCM equation.

GCF(9238,9246) = 2
LCM(9238,9246) = ( 9238 × 9246) / 2
LCM(9238,9246) = 85414548 / 2
LCM(9238,9246) = 42707274

Least Common Multiple (LCM) of 9238 and 9246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9246. First we will calculate the prime factors of 9238 and 9246.

Prime Factorization of 9238

Prime Factorization of 9246

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9246.

LCM(9238,9246) = 2¹ × 31¹ × 149¹ × 3¹ × 23¹ × 67¹
LCM(9238,9246) = 42707274