What is the Least Common Multiple of 27949 and 27959?

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 27949 and 27959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27949 and 27959, than apply into the LCM equation.

GCF(27949,27959) = 1
LCM(27949,27959) = ( 27949 × 27959) / 1
LCM(27949,27959) = 781426091 / 1
LCM(27949,27959) = 781426091

Least Common Multiple (LCM) of 27949 and 27959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27949 and 27959. First we will calculate the prime factors of 27949 and 27959.

Prime Factorization of 27949

Prime Factorization of 27959

Now multiplying the highest exponent prime factors to calculate the LCM of 27949 and 27959.

LCM(27949,27959) = 19¹ × 1471¹ × 73¹ × 383¹
LCM(27949,27959) = 781426091