What is the Least Common Multiple of 48544 and 48564?

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 48544 and 48564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48544 and 48564, than apply into the LCM equation.

GCF(48544,48564) = 4
LCM(48544,48564) = ( 48544 × 48564) / 4
LCM(48544,48564) = 2357490816 / 4
LCM(48544,48564) = 589372704

Least Common Multiple (LCM) of 48544 and 48564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48544 and 48564. First we will calculate the prime factors of 48544 and 48564.

Prime Factorization of 48544

Prime Factorization of 48564

Now multiplying the highest exponent prime factors to calculate the LCM of 48544 and 48564.

LCM(48544,48564) = 2⁵ × 37¹ × 41¹ × 3² × 19¹ × 71¹
LCM(48544,48564) = 589372704