What is the Least Common Multiple of 47528 and 47536?

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 47528 and 47536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47528 and 47536, than apply into the LCM equation.

GCF(47528,47536) = 8
LCM(47528,47536) = ( 47528 × 47536) / 8
LCM(47528,47536) = 2259291008 / 8
LCM(47528,47536) = 282411376

Least Common Multiple (LCM) of 47528 and 47536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47528 and 47536. First we will calculate the prime factors of 47528 and 47536.

Prime Factorization of 47528

Prime Factorization of 47536

Now multiplying the highest exponent prime factors to calculate the LCM of 47528 and 47536.

LCM(47528,47536) = 2⁴ × 13¹ × 457¹ × 2971¹
LCM(47528,47536) = 282411376