What is the Least Common Multiple of 73141 and 73161?

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 73141 and 73161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73141 and 73161, than apply into the LCM equation.

GCF(73141,73161) = 1
LCM(73141,73161) = ( 73141 × 73161) / 1
LCM(73141,73161) = 5351068701 / 1
LCM(73141,73161) = 5351068701

Least Common Multiple (LCM) of 73141 and 73161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73141 and 73161. First we will calculate the prime factors of 73141 and 73161.

Prime Factorization of 73141

Prime Factorization of 73161

Now multiplying the highest exponent prime factors to calculate the LCM of 73141 and 73161.

LCM(73141,73161) = 73141¹ × 3² × 11¹ × 739¹
LCM(73141,73161) = 5351068701