What is the Least Common Multiple of 59541 and 59547?

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 59541 and 59547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59541 and 59547, than apply into the LCM equation.

GCF(59541,59547) = 3
LCM(59541,59547) = ( 59541 × 59547) / 3
LCM(59541,59547) = 3545487927 / 3
LCM(59541,59547) = 1181829309

Least Common Multiple (LCM) of 59541 and 59547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59541 and 59547. First we will calculate the prime factors of 59541 and 59547.

Prime Factorization of 59541

Prime Factorization of 59547

Now multiplying the highest exponent prime factors to calculate the LCM of 59541 and 59547.

LCM(59541,59547) = 3¹ × 89¹ × 223¹ × 23¹ × 863¹
LCM(59541,59547) = 1181829309