What is the Least Common Multiple of 71540 and 71558?

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 71540 and 71558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71540 and 71558, than apply into the LCM equation.

GCF(71540,71558) = 2
LCM(71540,71558) = ( 71540 × 71558) / 2
LCM(71540,71558) = 5119259320 / 2
LCM(71540,71558) = 2559629660

Least Common Multiple (LCM) of 71540 and 71558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71540 and 71558. First we will calculate the prime factors of 71540 and 71558.

Prime Factorization of 71540

Prime Factorization of 71558

Now multiplying the highest exponent prime factors to calculate the LCM of 71540 and 71558.

LCM(71540,71558) = 2² × 5¹ × 7² × 73¹ × 37¹ × 967¹
LCM(71540,71558) = 2559629660