What is the Least Common Multiple of 67374 and 67389?

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 67374 and 67389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67374 and 67389, than apply into the LCM equation.

GCF(67374,67389) = 3
LCM(67374,67389) = ( 67374 × 67389) / 3
LCM(67374,67389) = 4540266486 / 3
LCM(67374,67389) = 1513422162

Least Common Multiple (LCM) of 67374 and 67389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67374 and 67389. First we will calculate the prime factors of 67374 and 67389.

Prime Factorization of 67374

Prime Factorization of 67389

Now multiplying the highest exponent prime factors to calculate the LCM of 67374 and 67389.

LCM(67374,67389) = 2¹ × 3² × 19¹ × 197¹ × 7¹ × 3209¹
LCM(67374,67389) = 1513422162