What is the Least Common Multiple of 58928 and 58938?

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 58928 and 58938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58928 and 58938, than apply into the LCM equation.

GCF(58928,58938) = 2
LCM(58928,58938) = ( 58928 × 58938) / 2
LCM(58928,58938) = 3473098464 / 2
LCM(58928,58938) = 1736549232

Least Common Multiple (LCM) of 58928 and 58938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58928 and 58938. First we will calculate the prime factors of 58928 and 58938.

Prime Factorization of 58928

Prime Factorization of 58938

Now multiplying the highest exponent prime factors to calculate the LCM of 58928 and 58938.

LCM(58928,58938) = 2⁴ × 29¹ × 127¹ × 3¹ × 11¹ × 19¹ × 47¹
LCM(58928,58938) = 1736549232