What is the Least Common Multiple of 68658 and 68671?

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 68658 and 68671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68658 and 68671, than apply into the LCM equation.

GCF(68658,68671) = 1
LCM(68658,68671) = ( 68658 × 68671) / 1
LCM(68658,68671) = 4714813518 / 1
LCM(68658,68671) = 4714813518

Least Common Multiple (LCM) of 68658 and 68671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68658 and 68671. First we will calculate the prime factors of 68658 and 68671.

Prime Factorization of 68658

Prime Factorization of 68671

Now multiplying the highest exponent prime factors to calculate the LCM of 68658 and 68671.

LCM(68658,68671) = 2¹ × 3¹ × 11443¹ × 43¹ × 1597¹
LCM(68658,68671) = 4714813518