What is the Least Common Multiple of 67971 and 67989?

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 67971 and 67989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67971 and 67989, than apply into the LCM equation.

GCF(67971,67989) = 3
LCM(67971,67989) = ( 67971 × 67989) / 3
LCM(67971,67989) = 4621280319 / 3
LCM(67971,67989) = 1540426773

Least Common Multiple (LCM) of 67971 and 67989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67971 and 67989. First we will calculate the prime factors of 67971 and 67989.

Prime Factorization of 67971

Prime Factorization of 67989

Now multiplying the highest exponent prime factors to calculate the LCM of 67971 and 67989.

LCM(67971,67989) = 3¹ × 139¹ × 163¹ × 131¹ × 173¹
LCM(67971,67989) = 1540426773