What is the Least Common Multiple of 60569 and 60588?

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 60569 and 60588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60569 and 60588, than apply into the LCM equation.

GCF(60569,60588) = 1
LCM(60569,60588) = ( 60569 × 60588) / 1
LCM(60569,60588) = 3669754572 / 1
LCM(60569,60588) = 3669754572

Least Common Multiple (LCM) of 60569 and 60588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60569 and 60588. First we will calculate the prime factors of 60569 and 60588.

Prime Factorization of 60569

Prime Factorization of 60588

Now multiplying the highest exponent prime factors to calculate the LCM of 60569 and 60588.

LCM(60569,60588) = 37¹ × 1637¹ × 2² × 3⁴ × 11¹ × 17¹
LCM(60569,60588) = 3669754572