What is the Least Common Multiple of 45946 and 45960?

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 45946 and 45960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45946 and 45960, than apply into the LCM equation.

GCF(45946,45960) = 2
LCM(45946,45960) = ( 45946 × 45960) / 2
LCM(45946,45960) = 2111678160 / 2
LCM(45946,45960) = 1055839080

Least Common Multiple (LCM) of 45946 and 45960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45946 and 45960. First we will calculate the prime factors of 45946 and 45960.

Prime Factorization of 45946

Prime Factorization of 45960

Now multiplying the highest exponent prime factors to calculate the LCM of 45946 and 45960.

LCM(45946,45960) = 2³ × 22973¹ × 3¹ × 5¹ × 383¹
LCM(45946,45960) = 1055839080