What is the Least Common Multiple of 71448 and 71463?

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 71448 and 71463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71448 and 71463, than apply into the LCM equation.

GCF(71448,71463) = 3
LCM(71448,71463) = ( 71448 × 71463) / 3
LCM(71448,71463) = 5105888424 / 3
LCM(71448,71463) = 1701962808

Least Common Multiple (LCM) of 71448 and 71463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71448 and 71463. First we will calculate the prime factors of 71448 and 71463.

Prime Factorization of 71448

Prime Factorization of 71463

Now multiplying the highest exponent prime factors to calculate the LCM of 71448 and 71463.

LCM(71448,71463) = 2³ × 3¹ × 13¹ × 229¹ × 7¹ × 41¹ × 83¹
LCM(71448,71463) = 1701962808