What is the Least Common Multiple of 68860 and 68865?

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 68860 and 68865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68860 and 68865, than apply into the LCM equation.

GCF(68860,68865) = 5
LCM(68860,68865) = ( 68860 × 68865) / 5
LCM(68860,68865) = 4742043900 / 5
LCM(68860,68865) = 948408780

Least Common Multiple (LCM) of 68860 and 68865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68860 and 68865. First we will calculate the prime factors of 68860 and 68865.

Prime Factorization of 68860

Prime Factorization of 68865

Now multiplying the highest exponent prime factors to calculate the LCM of 68860 and 68865.

LCM(68860,68865) = 2² × 5¹ × 11¹ × 313¹ × 3¹ × 4591¹
LCM(68860,68865) = 948408780