What is the Least Common Multiple of 45156 and 45163?

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 45156 and 45163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45156 and 45163, than apply into the LCM equation.

GCF(45156,45163) = 1
LCM(45156,45163) = ( 45156 × 45163) / 1
LCM(45156,45163) = 2039380428 / 1
LCM(45156,45163) = 2039380428

Least Common Multiple (LCM) of 45156 and 45163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45156 and 45163. First we will calculate the prime factors of 45156 and 45163.

Prime Factorization of 45156

Prime Factorization of 45163

Now multiplying the highest exponent prime factors to calculate the LCM of 45156 and 45163.

LCM(45156,45163) = 2² × 3¹ × 53¹ × 71¹ × 19¹ × 2377¹
LCM(45156,45163) = 2039380428