What is the Least Common Multiple of 48945 and 48949?

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 48945 and 48949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48945 and 48949, than apply into the LCM equation.

GCF(48945,48949) = 1
LCM(48945,48949) = ( 48945 × 48949) / 1
LCM(48945,48949) = 2395808805 / 1
LCM(48945,48949) = 2395808805

Least Common Multiple (LCM) of 48945 and 48949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48945 and 48949. First we will calculate the prime factors of 48945 and 48949.

Prime Factorization of 48945

Prime Factorization of 48949

Now multiplying the highest exponent prime factors to calculate the LCM of 48945 and 48949.

LCM(48945,48949) = 3¹ × 5¹ × 13¹ × 251¹ × 31¹ × 1579¹
LCM(48945,48949) = 2395808805