What is the Least Common Multiple of 60552 and 60571?

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 60552 and 60571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60552 and 60571, than apply into the LCM equation.

GCF(60552,60571) = 1
LCM(60552,60571) = ( 60552 × 60571) / 1
LCM(60552,60571) = 3667695192 / 1
LCM(60552,60571) = 3667695192

Least Common Multiple (LCM) of 60552 and 60571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60552 and 60571. First we will calculate the prime factors of 60552 and 60571.

Prime Factorization of 60552

Prime Factorization of 60571

Now multiplying the highest exponent prime factors to calculate the LCM of 60552 and 60571.

LCM(60552,60571) = 2³ × 3² × 29² × 7¹ × 17¹ × 509¹
LCM(60552,60571) = 3667695192