What is the Least Common Multiple of 85772 and 85789?

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 85772 and 85789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85772 and 85789, than apply into the LCM equation.

GCF(85772,85789) = 1
LCM(85772,85789) = ( 85772 × 85789) / 1
LCM(85772,85789) = 7358294108 / 1
LCM(85772,85789) = 7358294108

Least Common Multiple (LCM) of 85772 and 85789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85772 and 85789. First we will calculate the prime factors of 85772 and 85789.

Prime Factorization of 85772

Prime Factorization of 85789

Now multiplying the highest exponent prime factors to calculate the LCM of 85772 and 85789.

LCM(85772,85789) = 2² × 41¹ × 523¹ × 11² × 709¹
LCM(85772,85789) = 7358294108