What is the Least Common Multiple of 58688 and 58708?

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 58708 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 58708, than apply into the LCM equation.

GCF(58688,58708) = 4
LCM(58688,58708) = ( 58688 × 58708) / 4
LCM(58688,58708) = 3445455104 / 4
LCM(58688,58708) = 861363776

Least Common Multiple (LCM) of 58688 and 58708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58688 and 58708. First we will calculate the prime factors of 58688 and 58708.

Prime Factorization of 58688

Prime Factorization of 58708

Now multiplying the highest exponent prime factors to calculate the LCM of 58688 and 58708.

LCM(58688,58708) = 2⁶ × 7¹ × 131¹ × 13¹ × 1129¹
LCM(58688,58708) = 861363776