What is the Least Common Multiple of 48949 and 48959?

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 48949 and 48959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48949 and 48959, than apply into the LCM equation.

GCF(48949,48959) = 1
LCM(48949,48959) = ( 48949 × 48959) / 1
LCM(48949,48959) = 2396494091 / 1
LCM(48949,48959) = 2396494091

Least Common Multiple (LCM) of 48949 and 48959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48949 and 48959. First we will calculate the prime factors of 48949 and 48959.

Prime Factorization of 48949

Prime Factorization of 48959

Now multiplying the highest exponent prime factors to calculate the LCM of 48949 and 48959.

LCM(48949,48959) = 31¹ × 1579¹ × 173¹ × 283¹
LCM(48949,48959) = 2396494091