What is the Least Common Multiple of 58716 and 58734?

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 58716 and 58734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58716 and 58734, than apply into the LCM equation.

GCF(58716,58734) = 18
LCM(58716,58734) = ( 58716 × 58734) / 18
LCM(58716,58734) = 3448625544 / 18
LCM(58716,58734) = 191590308

Least Common Multiple (LCM) of 58716 and 58734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58716 and 58734. First we will calculate the prime factors of 58716 and 58734.

Prime Factorization of 58716

Prime Factorization of 58734

Now multiplying the highest exponent prime factors to calculate the LCM of 58716 and 58734.

LCM(58716,58734) = 2² × 3² × 7¹ × 233¹ × 13¹ × 251¹
LCM(58716,58734) = 191590308