What is the Least Common Multiple of 67989 and 68001?

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 68001 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 68001, than apply into the LCM equation.

GCF(67989,68001) = 3
LCM(67989,68001) = ( 67989 × 68001) / 3
LCM(67989,68001) = 4623319989 / 3
LCM(67989,68001) = 1541106663

Least Common Multiple (LCM) of 67989 and 68001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67989 and 68001. First we will calculate the prime factors of 67989 and 68001.

Prime Factorization of 67989

Prime Factorization of 68001

Now multiplying the highest exponent prime factors to calculate the LCM of 67989 and 68001.

LCM(67989,68001) = 3¹ × 131¹ × 173¹ × 19¹ × 1193¹
LCM(67989,68001) = 1541106663