What is the Least Common Multiple of 52314 and 52334?

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 52314 and 52334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52314 and 52334, than apply into the LCM equation.

GCF(52314,52334) = 2
LCM(52314,52334) = ( 52314 × 52334) / 2
LCM(52314,52334) = 2737800876 / 2
LCM(52314,52334) = 1368900438

Least Common Multiple (LCM) of 52314 and 52334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52314 and 52334. First we will calculate the prime factors of 52314 and 52334.

Prime Factorization of 52314

Prime Factorization of 52334

Now multiplying the highest exponent prime factors to calculate the LCM of 52314 and 52334.

LCM(52314,52334) = 2¹ × 3¹ × 8719¹ × 137¹ × 191¹
LCM(52314,52334) = 1368900438