What is the Least Common Multiple of 58518 and 58534?

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 58518 and 58534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58518 and 58534, than apply into the LCM equation.

GCF(58518,58534) = 2
LCM(58518,58534) = ( 58518 × 58534) / 2
LCM(58518,58534) = 3425292612 / 2
LCM(58518,58534) = 1712646306

Least Common Multiple (LCM) of 58518 and 58534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58518 and 58534. First we will calculate the prime factors of 58518 and 58534.

Prime Factorization of 58518

Prime Factorization of 58534

Now multiplying the highest exponent prime factors to calculate the LCM of 58518 and 58534.

LCM(58518,58534) = 2¹ × 3² × 3251¹ × 7¹ × 37¹ × 113¹
LCM(58518,58534) = 1712646306