What is the Least Common Multiple of 85755 and 85761?

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 85755 and 85761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85755 and 85761, than apply into the LCM equation.

GCF(85755,85761) = 3
LCM(85755,85761) = ( 85755 × 85761) / 3
LCM(85755,85761) = 7354434555 / 3
LCM(85755,85761) = 2451478185

Least Common Multiple (LCM) of 85755 and 85761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85755 and 85761. First we will calculate the prime factors of 85755 and 85761.

Prime Factorization of 85755

Prime Factorization of 85761

Now multiplying the highest exponent prime factors to calculate the LCM of 85755 and 85761.

LCM(85755,85761) = 3² × 5¹ × 5717¹ × 13¹ × 733¹
LCM(85755,85761) = 2451478185