What is the Least Common Multiple of 45163 and 45179?

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 45163 and 45179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45163 and 45179, than apply into the LCM equation.

GCF(45163,45179) = 1
LCM(45163,45179) = ( 45163 × 45179) / 1
LCM(45163,45179) = 2040419177 / 1
LCM(45163,45179) = 2040419177

Least Common Multiple (LCM) of 45163 and 45179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45163 and 45179. First we will calculate the prime factors of 45163 and 45179.

Prime Factorization of 45163

Prime Factorization of 45179

Now multiplying the highest exponent prime factors to calculate the LCM of 45163 and 45179.

LCM(45163,45179) = 19¹ × 2377¹ × 45179¹
LCM(45163,45179) = 2040419177