What is the Least Common Multiple of 49869 and 49882?

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 49869 and 49882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49869 and 49882, than apply into the LCM equation.

GCF(49869,49882) = 1
LCM(49869,49882) = ( 49869 × 49882) / 1
LCM(49869,49882) = 2487565458 / 1
LCM(49869,49882) = 2487565458

Least Common Multiple (LCM) of 49869 and 49882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49869 and 49882. First we will calculate the prime factors of 49869 and 49882.

Prime Factorization of 49869

Prime Factorization of 49882

Now multiplying the highest exponent prime factors to calculate the LCM of 49869 and 49882.

LCM(49869,49882) = 3³ × 1847¹ × 2¹ × 7² × 509¹
LCM(49869,49882) = 2487565458