What is the Least Common Multiple of 59545 and 59553?

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 59545 and 59553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59545 and 59553, than apply into the LCM equation.

GCF(59545,59553) = 1
LCM(59545,59553) = ( 59545 × 59553) / 1
LCM(59545,59553) = 3546083385 / 1
LCM(59545,59553) = 3546083385

Least Common Multiple (LCM) of 59545 and 59553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59545 and 59553. First we will calculate the prime factors of 59545 and 59553.

Prime Factorization of 59545

Prime Factorization of 59553

Now multiplying the highest exponent prime factors to calculate the LCM of 59545 and 59553.

LCM(59545,59553) = 5¹ × 11909¹ × 3² × 13¹ × 509¹
LCM(59545,59553) = 3546083385