What is the Least Common Multiple of 59535 and 59549?

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 59535 and 59549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59535 and 59549, than apply into the LCM equation.

GCF(59535,59549) = 7
LCM(59535,59549) = ( 59535 × 59549) / 7
LCM(59535,59549) = 3545249715 / 7
LCM(59535,59549) = 506464245

Least Common Multiple (LCM) of 59535 and 59549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59535 and 59549. First we will calculate the prime factors of 59535 and 59549.

Prime Factorization of 59535

Prime Factorization of 59549

Now multiplying the highest exponent prime factors to calculate the LCM of 59535 and 59549.

LCM(59535,59549) = 3⁵ × 5¹ × 7² × 47¹ × 181¹
LCM(59535,59549) = 506464245