What is the Least Common Multiple of 71428 and 71438?

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 71428 and 71438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71428 and 71438, than apply into the LCM equation.

GCF(71428,71438) = 2
LCM(71428,71438) = ( 71428 × 71438) / 2
LCM(71428,71438) = 5102673464 / 2
LCM(71428,71438) = 2551336732

Least Common Multiple (LCM) of 71428 and 71438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71428 and 71438. First we will calculate the prime factors of 71428 and 71438.

Prime Factorization of 71428

Prime Factorization of 71438

Now multiplying the highest exponent prime factors to calculate the LCM of 71428 and 71438.

LCM(71428,71438) = 2² × 7¹ × 2551¹ × 23¹ × 1553¹
LCM(71428,71438) = 2551336732