What is the Least Common Multiple of 86492 and 86496?

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 86492 and 86496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86492 and 86496, than apply into the LCM equation.

GCF(86492,86496) = 4
LCM(86492,86496) = ( 86492 × 86496) / 4
LCM(86492,86496) = 7481212032 / 4
LCM(86492,86496) = 1870303008

Least Common Multiple (LCM) of 86492 and 86496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86492 and 86496. First we will calculate the prime factors of 86492 and 86496.

Prime Factorization of 86492

Prime Factorization of 86496

Now multiplying the highest exponent prime factors to calculate the LCM of 86492 and 86496.

LCM(86492,86496) = 2⁵ × 7¹ × 3089¹ × 3¹ × 17¹ × 53¹
LCM(86492,86496) = 1870303008