What is the Least Common Multiple of 38549 and 38561?

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 38549 and 38561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38549 and 38561, than apply into the LCM equation.

GCF(38549,38561) = 1
LCM(38549,38561) = ( 38549 × 38561) / 1
LCM(38549,38561) = 1486487989 / 1
LCM(38549,38561) = 1486487989

Least Common Multiple (LCM) of 38549 and 38561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38549 and 38561. First we will calculate the prime factors of 38549 and 38561.

Prime Factorization of 38549

Prime Factorization of 38561

Now multiplying the highest exponent prime factors to calculate the LCM of 38549 and 38561.

LCM(38549,38561) = 7¹ × 5507¹ × 38561¹
LCM(38549,38561) = 1486487989