What is the Least Common Multiple of 58764 and 58772?

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 58764 and 58772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58764 and 58772, than apply into the LCM equation.

GCF(58764,58772) = 4
LCM(58764,58772) = ( 58764 × 58772) / 4
LCM(58764,58772) = 3453677808 / 4
LCM(58764,58772) = 863419452

Least Common Multiple (LCM) of 58764 and 58772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58764 and 58772. First we will calculate the prime factors of 58764 and 58772.

Prime Factorization of 58764

Prime Factorization of 58772

Now multiplying the highest exponent prime factors to calculate the LCM of 58764 and 58772.

LCM(58764,58772) = 2² × 3¹ × 59¹ × 83¹ × 7¹ × 2099¹
LCM(58764,58772) = 863419452