What is the Least Common Multiple of 71145 and 71162?

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 71145 and 71162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71145 and 71162, than apply into the LCM equation.

GCF(71145,71162) = 17
LCM(71145,71162) = ( 71145 × 71162) / 17
LCM(71145,71162) = 5062820490 / 17
LCM(71145,71162) = 297812970

Least Common Multiple (LCM) of 71145 and 71162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71145 and 71162. First we will calculate the prime factors of 71145 and 71162.

Prime Factorization of 71145

Prime Factorization of 71162

Now multiplying the highest exponent prime factors to calculate the LCM of 71145 and 71162.

LCM(71145,71162) = 3³ × 5¹ × 17¹ × 31¹ × 2¹ × 7¹ × 13¹ × 23¹
LCM(71145,71162) = 297812970