What is the Least Common Multiple of 68991 and 69004?

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 68991 and 69004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68991 and 69004, than apply into the LCM equation.

GCF(68991,69004) = 13
LCM(68991,69004) = ( 68991 × 69004) / 13
LCM(68991,69004) = 4760654964 / 13
LCM(68991,69004) = 366204228

Least Common Multiple (LCM) of 68991 and 69004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68991 and 69004. First we will calculate the prime factors of 68991 and 69004.

Prime Factorization of 68991

Prime Factorization of 69004

Now multiplying the highest exponent prime factors to calculate the LCM of 68991 and 69004.

LCM(68991,69004) = 3¹ × 13¹ × 29¹ × 61¹ × 2² × 1327¹
LCM(68991,69004) = 366204228