What is the Least Common Multiple of 85448 and 85468?

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 85448 and 85468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85448 and 85468, than apply into the LCM equation.

GCF(85448,85468) = 4
LCM(85448,85468) = ( 85448 × 85468) / 4
LCM(85448,85468) = 7303069664 / 4
LCM(85448,85468) = 1825767416

Least Common Multiple (LCM) of 85448 and 85468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85448 and 85468. First we will calculate the prime factors of 85448 and 85468.

Prime Factorization of 85448

Prime Factorization of 85468

Now multiplying the highest exponent prime factors to calculate the LCM of 85448 and 85468.

LCM(85448,85468) = 2³ × 11¹ × 971¹ × 23¹ × 929¹
LCM(85448,85468) = 1825767416