What is the Least Common Multiple of 45960 and 45969?

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 45960 and 45969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45960 and 45969, than apply into the LCM equation.

GCF(45960,45969) = 3
LCM(45960,45969) = ( 45960 × 45969) / 3
LCM(45960,45969) = 2112735240 / 3
LCM(45960,45969) = 704245080

Least Common Multiple (LCM) of 45960 and 45969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45960 and 45969. First we will calculate the prime factors of 45960 and 45969.

Prime Factorization of 45960

Prime Factorization of 45969

Now multiplying the highest exponent prime factors to calculate the LCM of 45960 and 45969.

LCM(45960,45969) = 2³ × 3¹ × 5¹ × 383¹ × 7¹ × 11¹ × 199¹
LCM(45960,45969) = 704245080