What is the Least Common Multiple of 67989 and 68008?

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 67989 and 68008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67989 and 68008, than apply into the LCM equation.

GCF(67989,68008) = 1
LCM(67989,68008) = ( 67989 × 68008) / 1
LCM(67989,68008) = 4623795912 / 1
LCM(67989,68008) = 4623795912

Least Common Multiple (LCM) of 67989 and 68008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67989 and 68008. First we will calculate the prime factors of 67989 and 68008.

Prime Factorization of 67989

Prime Factorization of 68008

Now multiplying the highest exponent prime factors to calculate the LCM of 67989 and 68008.

LCM(67989,68008) = 3¹ × 131¹ × 173¹ × 2³ × 8501¹
LCM(67989,68008) = 4623795912