What is the Least Common Multiple of 52344 and 52364?

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 52344 and 52364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52344 and 52364, than apply into the LCM equation.

GCF(52344,52364) = 4
LCM(52344,52364) = ( 52344 × 52364) / 4
LCM(52344,52364) = 2740941216 / 4
LCM(52344,52364) = 685235304

Least Common Multiple (LCM) of 52344 and 52364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52344 and 52364. First we will calculate the prime factors of 52344 and 52364.

Prime Factorization of 52344

Prime Factorization of 52364

Now multiplying the highest exponent prime factors to calculate the LCM of 52344 and 52364.

LCM(52344,52364) = 2³ × 3² × 727¹ × 13¹ × 19¹ × 53¹
LCM(52344,52364) = 685235304