What is the Least Common Multiple of 85400 and 85407?

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 85400 and 85407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85400 and 85407, than apply into the LCM equation.

GCF(85400,85407) = 7
LCM(85400,85407) = ( 85400 × 85407) / 7
LCM(85400,85407) = 7293757800 / 7
LCM(85400,85407) = 1041965400

Least Common Multiple (LCM) of 85400 and 85407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85400 and 85407. First we will calculate the prime factors of 85400 and 85407.

Prime Factorization of 85400

Prime Factorization of 85407

Now multiplying the highest exponent prime factors to calculate the LCM of 85400 and 85407.

LCM(85400,85407) = 2³ × 5² × 7³ × 61¹ × 3¹ × 83¹
LCM(85400,85407) = 1041965400