What is the Least Common Multiple of 45949 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 45949 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 45949 and 45960, than apply into the LCM equation.

GCF(45949,45960) = 1
LCM(45949,45960) = ( 45949 × 45960) / 1
LCM(45949,45960) = 2111816040 / 1
LCM(45949,45960) = 2111816040

Least Common Multiple (LCM) of 45949 and 45960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45949 and 45960. First we will calculate the prime factors of 45949 and 45960.

Prime Factorization of 45949

Prime Factorization of 45960

Now multiplying the highest exponent prime factors to calculate the LCM of 45949 and 45960.

LCM(45949,45960) = 45949¹ × 2³ × 3¹ × 5¹ × 383¹
LCM(45949,45960) = 2111816040