What is the Least Common Multiple of 45976 and 45993?

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 45976 and 45993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45976 and 45993, than apply into the LCM equation.

GCF(45976,45993) = 1
LCM(45976,45993) = ( 45976 × 45993) / 1
LCM(45976,45993) = 2114574168 / 1
LCM(45976,45993) = 2114574168

Least Common Multiple (LCM) of 45976 and 45993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45976 and 45993. First we will calculate the prime factors of 45976 and 45993.

Prime Factorization of 45976

Prime Factorization of 45993

Now multiplying the highest exponent prime factors to calculate the LCM of 45976 and 45993.

LCM(45976,45993) = 2³ × 7¹ × 821¹ × 3¹ × 15331¹
LCM(45976,45993) = 2114574168