What is the Least Common Multiple of 85428 and 85448?

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 85428 and 85448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85428 and 85448, than apply into the LCM equation.

GCF(85428,85448) = 4
LCM(85428,85448) = ( 85428 × 85448) / 4
LCM(85428,85448) = 7299651744 / 4
LCM(85428,85448) = 1824912936

Least Common Multiple (LCM) of 85428 and 85448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85428 and 85448. First we will calculate the prime factors of 85428 and 85448.

Prime Factorization of 85428

Prime Factorization of 85448

Now multiplying the highest exponent prime factors to calculate the LCM of 85428 and 85448.

LCM(85428,85448) = 2³ × 3³ × 7¹ × 113¹ × 11¹ × 971¹
LCM(85428,85448) = 1824912936