What is the Least Common Multiple of 71440 and 71446?

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 71440 and 71446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71440 and 71446, than apply into the LCM equation.

GCF(71440,71446) = 2
LCM(71440,71446) = ( 71440 × 71446) / 2
LCM(71440,71446) = 5104102240 / 2
LCM(71440,71446) = 2552051120

Least Common Multiple (LCM) of 71440 and 71446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71440 and 71446. First we will calculate the prime factors of 71440 and 71446.

Prime Factorization of 71440

Prime Factorization of 71446

Now multiplying the highest exponent prime factors to calculate the LCM of 71440 and 71446.

LCM(71440,71446) = 2⁴ × 5¹ × 19¹ × 47¹ × 139¹ × 257¹
LCM(71440,71446) = 2552051120