What is the Least Common Multiple of 97065 and 97071?

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 97065 and 97071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97065 and 97071, than apply into the LCM equation.

GCF(97065,97071) = 3
LCM(97065,97071) = ( 97065 × 97071) / 3
LCM(97065,97071) = 9422196615 / 3
LCM(97065,97071) = 3140732205

Least Common Multiple (LCM) of 97065 and 97071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97065 and 97071. First we will calculate the prime factors of 97065 and 97071.

Prime Factorization of 97065

Prime Factorization of 97071

Now multiplying the highest exponent prime factors to calculate the LCM of 97065 and 97071.

LCM(97065,97071) = 3³ × 5¹ × 719¹ × 13¹ × 19¹ × 131¹
LCM(97065,97071) = 3140732205