What is the Least Common Multiple of 85896 and 85904?

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 85896 and 85904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85896 and 85904, than apply into the LCM equation.

GCF(85896,85904) = 8
LCM(85896,85904) = ( 85896 × 85904) / 8
LCM(85896,85904) = 7378809984 / 8
LCM(85896,85904) = 922351248

Least Common Multiple (LCM) of 85896 and 85904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85896 and 85904. First we will calculate the prime factors of 85896 and 85904.

Prime Factorization of 85896

Prime Factorization of 85904

Now multiplying the highest exponent prime factors to calculate the LCM of 85896 and 85904.

LCM(85896,85904) = 2⁴ × 3² × 1193¹ × 7¹ × 13¹ × 59¹
LCM(85896,85904) = 922351248