What is the Least Common Multiple of 23226 and 23246?

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 23226 and 23246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23226 and 23246, than apply into the LCM equation.

GCF(23226,23246) = 2
LCM(23226,23246) = ( 23226 × 23246) / 2
LCM(23226,23246) = 539911596 / 2
LCM(23226,23246) = 269955798

Least Common Multiple (LCM) of 23226 and 23246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23226 and 23246. First we will calculate the prime factors of 23226 and 23246.

Prime Factorization of 23226

Prime Factorization of 23246

Now multiplying the highest exponent prime factors to calculate the LCM of 23226 and 23246.

LCM(23226,23246) = 2¹ × 3¹ × 7² × 79¹ × 59¹ × 197¹
LCM(23226,23246) = 269955798