What is the Least Common Multiple of 85892 and 85899?

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 85892 and 85899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85892 and 85899, than apply into the LCM equation.

GCF(85892,85899) = 1
LCM(85892,85899) = ( 85892 × 85899) / 1
LCM(85892,85899) = 7378036908 / 1
LCM(85892,85899) = 7378036908

Least Common Multiple (LCM) of 85892 and 85899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85892 and 85899. First we will calculate the prime factors of 85892 and 85899.

Prime Factorization of 85892

Prime Factorization of 85899

Now multiplying the highest exponent prime factors to calculate the LCM of 85892 and 85899.

LCM(85892,85899) = 2² × 109¹ × 197¹ × 3¹ × 11¹ × 19¹ × 137¹
LCM(85892,85899) = 7378036908