What is the Least Common Multiple of 48528 and 48535?

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 48528 and 48535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48528 and 48535, than apply into the LCM equation.

GCF(48528,48535) = 1
LCM(48528,48535) = ( 48528 × 48535) / 1
LCM(48528,48535) = 2355306480 / 1
LCM(48528,48535) = 2355306480

Least Common Multiple (LCM) of 48528 and 48535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48528 and 48535. First we will calculate the prime factors of 48528 and 48535.

Prime Factorization of 48528

Prime Factorization of 48535

Now multiplying the highest exponent prime factors to calculate the LCM of 48528 and 48535.

LCM(48528,48535) = 2⁴ × 3² × 337¹ × 5¹ × 17¹ × 571¹
LCM(48528,48535) = 2355306480