What is the Least Common Multiple of 71478 and 71483?

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 71478 and 71483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71478 and 71483, than apply into the LCM equation.

GCF(71478,71483) = 1
LCM(71478,71483) = ( 71478 × 71483) / 1
LCM(71478,71483) = 5109461874 / 1
LCM(71478,71483) = 5109461874

Least Common Multiple (LCM) of 71478 and 71483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71478 and 71483. First we will calculate the prime factors of 71478 and 71483.

Prime Factorization of 71478

Prime Factorization of 71483

Now multiplying the highest exponent prime factors to calculate the LCM of 71478 and 71483.

LCM(71478,71483) = 2¹ × 3² × 11¹ × 19² × 71483¹
LCM(71478,71483) = 5109461874