What is the Least Common Multiple of 58758 and 58777?

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 58758 and 58777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58758 and 58777, than apply into the LCM equation.

GCF(58758,58777) = 1
LCM(58758,58777) = ( 58758 × 58777) / 1
LCM(58758,58777) = 3453618966 / 1
LCM(58758,58777) = 3453618966

Least Common Multiple (LCM) of 58758 and 58777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58758 and 58777. First we will calculate the prime factors of 58758 and 58777.

Prime Factorization of 58758

Prime Factorization of 58777

Now multiplying the highest exponent prime factors to calculate the LCM of 58758 and 58777.

LCM(58758,58777) = 2¹ × 3¹ × 7¹ × 1399¹ × 53¹ × 1109¹
LCM(58758,58777) = 3453618966