What is the Least Common Multiple of 12549 and 12565?

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 12549 and 12565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12549 and 12565, than apply into the LCM equation.

GCF(12549,12565) = 1
LCM(12549,12565) = ( 12549 × 12565) / 1
LCM(12549,12565) = 157678185 / 1
LCM(12549,12565) = 157678185

Least Common Multiple (LCM) of 12549 and 12565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12549 and 12565. First we will calculate the prime factors of 12549 and 12565.

Prime Factorization of 12549

Prime Factorization of 12565

Now multiplying the highest exponent prime factors to calculate the LCM of 12549 and 12565.

LCM(12549,12565) = 3¹ × 47¹ × 89¹ × 5¹ × 7¹ × 359¹
LCM(12549,12565) = 157678185