What is the Least Common Multiple of 60554 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 60554 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 60554 and 60571, than apply into the LCM equation.

GCF(60554,60571) = 17
LCM(60554,60571) = ( 60554 × 60571) / 17
LCM(60554,60571) = 3667816334 / 17
LCM(60554,60571) = 215753902

Least Common Multiple (LCM) of 60554 and 60571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60554 and 60571. First we will calculate the prime factors of 60554 and 60571.

Prime Factorization of 60554

Prime Factorization of 60571

Now multiplying the highest exponent prime factors to calculate the LCM of 60554 and 60571.

LCM(60554,60571) = 2¹ × 13¹ × 17¹ × 137¹ × 7¹ × 509¹
LCM(60554,60571) = 215753902