What is the Least Common Multiple of 71446 and 71453?

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 71446 and 71453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71446 and 71453, than apply into the LCM equation.

GCF(71446,71453) = 1
LCM(71446,71453) = ( 71446 × 71453) / 1
LCM(71446,71453) = 5105031038 / 1
LCM(71446,71453) = 5105031038

Least Common Multiple (LCM) of 71446 and 71453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71446 and 71453. First we will calculate the prime factors of 71446 and 71453.

Prime Factorization of 71446

Prime Factorization of 71453

Now multiplying the highest exponent prime factors to calculate the LCM of 71446 and 71453.

LCM(71446,71453) = 2¹ × 139¹ × 257¹ × 71453¹
LCM(71446,71453) = 5105031038