What is the Least Common Multiple of 70161 and 70180?

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 70161 and 70180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70161 and 70180, than apply into the LCM equation.

GCF(70161,70180) = 1
LCM(70161,70180) = ( 70161 × 70180) / 1
LCM(70161,70180) = 4923898980 / 1
LCM(70161,70180) = 4923898980

Least Common Multiple (LCM) of 70161 and 70180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70161 and 70180. First we will calculate the prime factors of 70161 and 70180.

Prime Factorization of 70161

Prime Factorization of 70180

Now multiplying the highest exponent prime factors to calculate the LCM of 70161 and 70180.

LCM(70161,70180) = 3¹ × 7¹ × 13¹ × 257¹ × 2² × 5¹ × 11² × 29¹
LCM(70161,70180) = 4923898980