What is the Least Common Multiple of 71052 and 71065?

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 71052 and 71065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71052 and 71065, than apply into the LCM equation.

GCF(71052,71065) = 1
LCM(71052,71065) = ( 71052 × 71065) / 1
LCM(71052,71065) = 5049310380 / 1
LCM(71052,71065) = 5049310380

Least Common Multiple (LCM) of 71052 and 71065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71052 and 71065. First we will calculate the prime factors of 71052 and 71065.

Prime Factorization of 71052

Prime Factorization of 71065

Now multiplying the highest exponent prime factors to calculate the LCM of 71052 and 71065.

LCM(71052,71065) = 2² × 3¹ × 31¹ × 191¹ × 5¹ × 61¹ × 233¹
LCM(71052,71065) = 5049310380