What is the Least Common Multiple of 45993 and 45999?

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 45993 and 45999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45993 and 45999, than apply into the LCM equation.

GCF(45993,45999) = 3
LCM(45993,45999) = ( 45993 × 45999) / 3
LCM(45993,45999) = 2115632007 / 3
LCM(45993,45999) = 705210669

Least Common Multiple (LCM) of 45993 and 45999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45993 and 45999. First we will calculate the prime factors of 45993 and 45999.

Prime Factorization of 45993

Prime Factorization of 45999

Now multiplying the highest exponent prime factors to calculate the LCM of 45993 and 45999.

LCM(45993,45999) = 3² × 15331¹ × 19¹ × 269¹
LCM(45993,45999) = 705210669