What is the Least Common Multiple of 52206 and 52226?

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 52206 and 52226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52206 and 52226, than apply into the LCM equation.

GCF(52206,52226) = 2
LCM(52206,52226) = ( 52206 × 52226) / 2
LCM(52206,52226) = 2726510556 / 2
LCM(52206,52226) = 1363255278

Least Common Multiple (LCM) of 52206 and 52226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52206 and 52226. First we will calculate the prime factors of 52206 and 52226.

Prime Factorization of 52206

Prime Factorization of 52226

Now multiplying the highest exponent prime factors to calculate the LCM of 52206 and 52226.

LCM(52206,52226) = 2¹ × 3¹ × 7¹ × 11¹ × 113¹ × 26113¹
LCM(52206,52226) = 1363255278