What is the Least Common Multiple of 58716 and 58722?

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 58722 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 58722, than apply into the LCM equation.

GCF(58716,58722) = 6
LCM(58716,58722) = ( 58716 × 58722) / 6
LCM(58716,58722) = 3447920952 / 6
LCM(58716,58722) = 574653492

Least Common Multiple (LCM) of 58716 and 58722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58716 and 58722. First we will calculate the prime factors of 58716 and 58722.

Prime Factorization of 58716

Prime Factorization of 58722

Now multiplying the highest exponent prime factors to calculate the LCM of 58716 and 58722.

LCM(58716,58722) = 2² × 3² × 7¹ × 233¹ × 9787¹
LCM(58716,58722) = 574653492