What is the Least Common Multiple of 85104 and 85119?

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 85104 and 85119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85104 and 85119, than apply into the LCM equation.

GCF(85104,85119) = 3
LCM(85104,85119) = ( 85104 × 85119) / 3
LCM(85104,85119) = 7243967376 / 3
LCM(85104,85119) = 2414655792

Least Common Multiple (LCM) of 85104 and 85119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85104 and 85119. First we will calculate the prime factors of 85104 and 85119.

Prime Factorization of 85104

Prime Factorization of 85119

Now multiplying the highest exponent prime factors to calculate the LCM of 85104 and 85119.

LCM(85104,85119) = 2⁴ × 3³ × 197¹ × 17¹ × 1669¹
LCM(85104,85119) = 2414655792