What is the Least Common Multiple of 85428 and 85438?

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 85438 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 85438, than apply into the LCM equation.

GCF(85428,85438) = 2
LCM(85428,85438) = ( 85428 × 85438) / 2
LCM(85428,85438) = 7298797464 / 2
LCM(85428,85438) = 3649398732

Least Common Multiple (LCM) of 85428 and 85438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85428 and 85438. First we will calculate the prime factors of 85428 and 85438.

Prime Factorization of 85428

Prime Factorization of 85438

Now multiplying the highest exponent prime factors to calculate the LCM of 85428 and 85438.

LCM(85428,85438) = 2² × 3³ × 7¹ × 113¹ × 42719¹
LCM(85428,85438) = 3649398732