What is the Least Common Multiple of 71463 and 71477?

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 71463 and 71477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71463 and 71477, than apply into the LCM equation.

GCF(71463,71477) = 7
LCM(71463,71477) = ( 71463 × 71477) / 7
LCM(71463,71477) = 5107960851 / 7
LCM(71463,71477) = 729708693

Least Common Multiple (LCM) of 71463 and 71477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71463 and 71477. First we will calculate the prime factors of 71463 and 71477.

Prime Factorization of 71463

Prime Factorization of 71477

Now multiplying the highest exponent prime factors to calculate the LCM of 71463 and 71477.

LCM(71463,71477) = 3¹ × 7¹ × 41¹ × 83¹ × 10211¹
LCM(71463,71477) = 729708693