What is the Least Common Multiple of 85761 and 85769?

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 85761 and 85769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85761 and 85769, than apply into the LCM equation.

GCF(85761,85769) = 1
LCM(85761,85769) = ( 85761 × 85769) / 1
LCM(85761,85769) = 7355635209 / 1
LCM(85761,85769) = 7355635209

Least Common Multiple (LCM) of 85761 and 85769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85761 and 85769. First we will calculate the prime factors of 85761 and 85769.

Prime Factorization of 85761

Prime Factorization of 85769

Now multiplying the highest exponent prime factors to calculate the LCM of 85761 and 85769.

LCM(85761,85769) = 3² × 13¹ × 733¹ × 199¹ × 431¹
LCM(85761,85769) = 7355635209