What is the Least Common Multiple of 67552 and 67571?

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 67552 and 67571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67552 and 67571, than apply into the LCM equation.

GCF(67552,67571) = 1
LCM(67552,67571) = ( 67552 × 67571) / 1
LCM(67552,67571) = 4564556192 / 1
LCM(67552,67571) = 4564556192

Least Common Multiple (LCM) of 67552 and 67571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67552 and 67571. First we will calculate the prime factors of 67552 and 67571.

Prime Factorization of 67552

Prime Factorization of 67571

Now multiplying the highest exponent prime factors to calculate the LCM of 67552 and 67571.

LCM(67552,67571) = 2⁵ × 2111¹ × 7³ × 197¹
LCM(67552,67571) = 4564556192