What is the Least Common Multiple of 85780 and 85792?

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 85780 and 85792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85780 and 85792, than apply into the LCM equation.

GCF(85780,85792) = 4
LCM(85780,85792) = ( 85780 × 85792) / 4
LCM(85780,85792) = 7359237760 / 4
LCM(85780,85792) = 1839809440

Least Common Multiple (LCM) of 85780 and 85792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85780 and 85792. First we will calculate the prime factors of 85780 and 85792.

Prime Factorization of 85780

Prime Factorization of 85792

Now multiplying the highest exponent prime factors to calculate the LCM of 85780 and 85792.

LCM(85780,85792) = 2⁵ × 5¹ × 4289¹ × 7¹ × 383¹
LCM(85780,85792) = 1839809440