What is the Least Common Multiple of 67989 and 68009?

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 68009 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 68009, than apply into the LCM equation.

GCF(67989,68009) = 1
LCM(67989,68009) = ( 67989 × 68009) / 1
LCM(67989,68009) = 4623863901 / 1
LCM(67989,68009) = 4623863901

Least Common Multiple (LCM) of 67989 and 68009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67989 and 68009. First we will calculate the prime factors of 67989 and 68009.

Prime Factorization of 67989

Prime Factorization of 68009

Now multiplying the highest exponent prime factors to calculate the LCM of 67989 and 68009.

LCM(67989,68009) = 3¹ × 131¹ × 173¹ × 47¹ × 1447¹
LCM(67989,68009) = 4623863901