What is the Least Common Multiple of 58688 and 58704?

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 58688 and 58704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58688 and 58704, than apply into the LCM equation.

GCF(58688,58704) = 16
LCM(58688,58704) = ( 58688 × 58704) / 16
LCM(58688,58704) = 3445220352 / 16
LCM(58688,58704) = 215326272

Least Common Multiple (LCM) of 58688 and 58704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58688 and 58704. First we will calculate the prime factors of 58688 and 58704.

Prime Factorization of 58688

Prime Factorization of 58704

Now multiplying the highest exponent prime factors to calculate the LCM of 58688 and 58704.

LCM(58688,58704) = 2⁶ × 7¹ × 131¹ × 3¹ × 1223¹
LCM(58688,58704) = 215326272