What is the Least Common Multiple of 85184 and 85201?

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 85184 and 85201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85184 and 85201, than apply into the LCM equation.

GCF(85184,85201) = 1
LCM(85184,85201) = ( 85184 × 85201) / 1
LCM(85184,85201) = 7257761984 / 1
LCM(85184,85201) = 7257761984

Least Common Multiple (LCM) of 85184 and 85201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85184 and 85201. First we will calculate the prime factors of 85184 and 85201.

Prime Factorization of 85184

Prime Factorization of 85201

Now multiplying the highest exponent prime factors to calculate the LCM of 85184 and 85201.

LCM(85184,85201) = 2⁶ × 11³ × 85201¹
LCM(85184,85201) = 7257761984