What is the Least Common Multiple of 86736 and 86749?

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 86736 and 86749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86736 and 86749, than apply into the LCM equation.

GCF(86736,86749) = 13
LCM(86736,86749) = ( 86736 × 86749) / 13
LCM(86736,86749) = 7524261264 / 13
LCM(86736,86749) = 578789328

Least Common Multiple (LCM) of 86736 and 86749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86736 and 86749. First we will calculate the prime factors of 86736 and 86749.

Prime Factorization of 86736

Prime Factorization of 86749

Now multiplying the highest exponent prime factors to calculate the LCM of 86736 and 86749.

LCM(86736,86749) = 2⁴ × 3¹ × 13¹ × 139¹ × 6673¹
LCM(86736,86749) = 578789328