What is the Least Common Multiple of 67559 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 67559 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 67559 and 67571, than apply into the LCM equation.

GCF(67559,67571) = 1
LCM(67559,67571) = ( 67559 × 67571) / 1
LCM(67559,67571) = 4565029189 / 1
LCM(67559,67571) = 4565029189

Least Common Multiple (LCM) of 67559 and 67571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67559 and 67571. First we will calculate the prime factors of 67559 and 67571.

Prime Factorization of 67559

Prime Factorization of 67571

Now multiplying the highest exponent prime factors to calculate the LCM of 67559 and 67571.

LCM(67559,67571) = 67559¹ × 7³ × 197¹
LCM(67559,67571) = 4565029189