What is the Least Common Multiple of 14529 and 14541?

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 14529 and 14541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14529 and 14541, than apply into the LCM equation.

GCF(14529,14541) = 3
LCM(14529,14541) = ( 14529 × 14541) / 3
LCM(14529,14541) = 211266189 / 3
LCM(14529,14541) = 70422063

Least Common Multiple (LCM) of 14529 and 14541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14529 and 14541. First we will calculate the prime factors of 14529 and 14541.

Prime Factorization of 14529

Prime Factorization of 14541

Now multiplying the highest exponent prime factors to calculate the LCM of 14529 and 14541.

LCM(14529,14541) = 3¹ × 29¹ × 167¹ × 37¹ × 131¹
LCM(14529,14541) = 70422063