What is the Least Common Multiple of 58534 and 58538?

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 58534 and 58538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58534 and 58538, than apply into the LCM equation.

GCF(58534,58538) = 2
LCM(58534,58538) = ( 58534 × 58538) / 2
LCM(58534,58538) = 3426463292 / 2
LCM(58534,58538) = 1713231646

Least Common Multiple (LCM) of 58534 and 58538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58534 and 58538. First we will calculate the prime factors of 58534 and 58538.

Prime Factorization of 58534

Prime Factorization of 58538

Now multiplying the highest exponent prime factors to calculate the LCM of 58534 and 58538.

LCM(58534,58538) = 2¹ × 7¹ × 37¹ × 113¹ × 29269¹
LCM(58534,58538) = 1713231646