What is the Least Common Multiple of 85748 and 85754?

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 85748 and 85754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85748 and 85754, than apply into the LCM equation.

GCF(85748,85754) = 2
LCM(85748,85754) = ( 85748 × 85754) / 2
LCM(85748,85754) = 7353233992 / 2
LCM(85748,85754) = 3676616996

Least Common Multiple (LCM) of 85748 and 85754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85748 and 85754. First we will calculate the prime factors of 85748 and 85754.

Prime Factorization of 85748

Prime Factorization of 85754

Now multiplying the highest exponent prime factors to calculate the LCM of 85748 and 85754.

LCM(85748,85754) = 2² × 13¹ × 17¹ × 97¹ × 53¹ × 809¹
LCM(85748,85754) = 3676616996