What is the Least Common Multiple of 5234 and 5246?

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 5234 and 5246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5234 and 5246, than apply into the LCM equation.

GCF(5234,5246) = 2
LCM(5234,5246) = ( 5234 × 5246) / 2
LCM(5234,5246) = 27457564 / 2
LCM(5234,5246) = 13728782

Least Common Multiple (LCM) of 5234 and 5246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5234 and 5246. First we will calculate the prime factors of 5234 and 5246.

Prime Factorization of 5234

Prime Factorization of 5246

Now multiplying the highest exponent prime factors to calculate the LCM of 5234 and 5246.

LCM(5234,5246) = 2¹ × 2617¹ × 43¹ × 61¹
LCM(5234,5246) = 13728782