What is the Least Common Multiple of 45995 and 46011?

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 45995 and 46011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45995 and 46011, than apply into the LCM equation.

GCF(45995,46011) = 1
LCM(45995,46011) = ( 45995 × 46011) / 1
LCM(45995,46011) = 2116275945 / 1
LCM(45995,46011) = 2116275945

Least Common Multiple (LCM) of 45995 and 46011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45995 and 46011. First we will calculate the prime factors of 45995 and 46011.

Prime Factorization of 45995

Prime Factorization of 46011

Now multiplying the highest exponent prime factors to calculate the LCM of 45995 and 46011.

LCM(45995,46011) = 5¹ × 9199¹ × 3¹ × 7² × 313¹
LCM(45995,46011) = 2116275945