What is the Least Common Multiple of 45898 and 45912?

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 45898 and 45912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45898 and 45912, than apply into the LCM equation.

GCF(45898,45912) = 2
LCM(45898,45912) = ( 45898 × 45912) / 2
LCM(45898,45912) = 2107268976 / 2
LCM(45898,45912) = 1053634488

Least Common Multiple (LCM) of 45898 and 45912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45898 and 45912. First we will calculate the prime factors of 45898 and 45912.

Prime Factorization of 45898

Prime Factorization of 45912

Now multiplying the highest exponent prime factors to calculate the LCM of 45898 and 45912.

LCM(45898,45912) = 2³ × 53¹ × 433¹ × 3¹ × 1913¹
LCM(45898,45912) = 1053634488