What is the Least Common Multiple of 86144 and 86149?

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 86144 and 86149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86144 and 86149, than apply into the LCM equation.

GCF(86144,86149) = 1
LCM(86144,86149) = ( 86144 × 86149) / 1
LCM(86144,86149) = 7421219456 / 1
LCM(86144,86149) = 7421219456

Least Common Multiple (LCM) of 86144 and 86149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86144 and 86149. First we will calculate the prime factors of 86144 and 86149.

Prime Factorization of 86144

Prime Factorization of 86149

Now multiplying the highest exponent prime factors to calculate the LCM of 86144 and 86149.

LCM(86144,86149) = 2⁷ × 673¹ × 7¹ × 31¹ × 397¹
LCM(86144,86149) = 7421219456