What is the Least Common Multiple of 45937 and 45949?

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 45937 and 45949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45937 and 45949, than apply into the LCM equation.

GCF(45937,45949) = 1
LCM(45937,45949) = ( 45937 × 45949) / 1
LCM(45937,45949) = 2110759213 / 1
LCM(45937,45949) = 2110759213

Least Common Multiple (LCM) of 45937 and 45949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45937 and 45949. First we will calculate the prime factors of 45937 and 45949.

Prime Factorization of 45937

Prime Factorization of 45949

Now multiplying the highest exponent prime factors to calculate the LCM of 45937 and 45949.

LCM(45937,45949) = 71¹ × 647¹ × 45949¹
LCM(45937,45949) = 2110759213