What is the Least Common Multiple of 45952 and 45958?

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 45952 and 45958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45952 and 45958, than apply into the LCM equation.

GCF(45952,45958) = 2
LCM(45952,45958) = ( 45952 × 45958) / 2
LCM(45952,45958) = 2111862016 / 2
LCM(45952,45958) = 1055931008

Least Common Multiple (LCM) of 45952 and 45958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45952 and 45958. First we will calculate the prime factors of 45952 and 45958.

Prime Factorization of 45952

Prime Factorization of 45958

Now multiplying the highest exponent prime factors to calculate the LCM of 45952 and 45958.

LCM(45952,45958) = 2⁷ × 359¹ × 11¹ × 2089¹
LCM(45952,45958) = 1055931008