What is the Least Common Multiple of 85464 and 85484?

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 85464 and 85484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85464 and 85484, than apply into the LCM equation.

GCF(85464,85484) = 4
LCM(85464,85484) = ( 85464 × 85484) / 4
LCM(85464,85484) = 7305804576 / 4
LCM(85464,85484) = 1826451144

Least Common Multiple (LCM) of 85464 and 85484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85464 and 85484. First we will calculate the prime factors of 85464 and 85484.

Prime Factorization of 85464

Prime Factorization of 85484

Now multiplying the highest exponent prime factors to calculate the LCM of 85464 and 85484.

LCM(85464,85484) = 2³ × 3² × 1187¹ × 7¹ × 43¹ × 71¹
LCM(85464,85484) = 1826451144