What is the Least Common Multiple of 52248 and 52264?

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 52248 and 52264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52248 and 52264, than apply into the LCM equation.

GCF(52248,52264) = 8
LCM(52248,52264) = ( 52248 × 52264) / 8
LCM(52248,52264) = 2730689472 / 8
LCM(52248,52264) = 341336184

Least Common Multiple (LCM) of 52248 and 52264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52248 and 52264. First we will calculate the prime factors of 52248 and 52264.

Prime Factorization of 52248

Prime Factorization of 52264

Now multiplying the highest exponent prime factors to calculate the LCM of 52248 and 52264.

LCM(52248,52264) = 2³ × 3¹ × 7¹ × 311¹ × 47¹ × 139¹
LCM(52248,52264) = 341336184