What is the Least Common Multiple of 86428 and 86448?

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 86428 and 86448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86428 and 86448, than apply into the LCM equation.

GCF(86428,86448) = 4
LCM(86428,86448) = ( 86428 × 86448) / 4
LCM(86428,86448) = 7471527744 / 4
LCM(86428,86448) = 1867881936

Least Common Multiple (LCM) of 86428 and 86448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86428 and 86448. First we will calculate the prime factors of 86428 and 86448.

Prime Factorization of 86428

Prime Factorization of 86448

Now multiplying the highest exponent prime factors to calculate the LCM of 86428 and 86448.

LCM(86428,86448) = 2⁴ × 17¹ × 31¹ × 41¹ × 3¹ × 1801¹
LCM(86428,86448) = 1867881936