What is the Least Common Multiple of 16525 and 16541?

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 16525 and 16541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16525 and 16541, than apply into the LCM equation.

GCF(16525,16541) = 1
LCM(16525,16541) = ( 16525 × 16541) / 1
LCM(16525,16541) = 273340025 / 1
LCM(16525,16541) = 273340025

Least Common Multiple (LCM) of 16525 and 16541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16525 and 16541. First we will calculate the prime factors of 16525 and 16541.

Prime Factorization of 16525

Prime Factorization of 16541

Now multiplying the highest exponent prime factors to calculate the LCM of 16525 and 16541.

LCM(16525,16541) = 5² × 661¹ × 7¹ × 17¹ × 139¹
LCM(16525,16541) = 273340025