What is the Least Common Multiple of 52448 and 52460?

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 52448 and 52460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52448 and 52460, than apply into the LCM equation.

GCF(52448,52460) = 4
LCM(52448,52460) = ( 52448 × 52460) / 4
LCM(52448,52460) = 2751422080 / 4
LCM(52448,52460) = 687855520

Least Common Multiple (LCM) of 52448 and 52460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52448 and 52460. First we will calculate the prime factors of 52448 and 52460.

Prime Factorization of 52448

Prime Factorization of 52460

Now multiplying the highest exponent prime factors to calculate the LCM of 52448 and 52460.

LCM(52448,52460) = 2⁵ × 11¹ × 149¹ × 5¹ × 43¹ × 61¹
LCM(52448,52460) = 687855520