What is the Least Common Multiple of 67320 and 67339?

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 67320 and 67339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67320 and 67339, than apply into the LCM equation.

GCF(67320,67339) = 1
LCM(67320,67339) = ( 67320 × 67339) / 1
LCM(67320,67339) = 4533261480 / 1
LCM(67320,67339) = 4533261480

Least Common Multiple (LCM) of 67320 and 67339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67320 and 67339. First we will calculate the prime factors of 67320 and 67339.

Prime Factorization of 67320

Prime Factorization of 67339

Now multiplying the highest exponent prime factors to calculate the LCM of 67320 and 67339.

LCM(67320,67339) = 2³ × 3² × 5¹ × 11¹ × 17¹ × 67339¹
LCM(67320,67339) = 4533261480