What is the Least Common Multiple of 58674 and 58688?

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 58674 and 58688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58674 and 58688, than apply into the LCM equation.

GCF(58674,58688) = 14
LCM(58674,58688) = ( 58674 × 58688) / 14
LCM(58674,58688) = 3443459712 / 14
LCM(58674,58688) = 245961408

Least Common Multiple (LCM) of 58674 and 58688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58674 and 58688. First we will calculate the prime factors of 58674 and 58688.

Prime Factorization of 58674

Prime Factorization of 58688

Now multiplying the highest exponent prime factors to calculate the LCM of 58674 and 58688.

LCM(58674,58688) = 2⁶ × 3¹ × 7¹ × 11¹ × 127¹ × 131¹
LCM(58674,58688) = 245961408