What is the Least Common Multiple of 67428 and 67446?

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 67428 and 67446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67428 and 67446, than apply into the LCM equation.

GCF(67428,67446) = 18
LCM(67428,67446) = ( 67428 × 67446) / 18
LCM(67428,67446) = 4547748888 / 18
LCM(67428,67446) = 252652716

Least Common Multiple (LCM) of 67428 and 67446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67428 and 67446. First we will calculate the prime factors of 67428 and 67446.

Prime Factorization of 67428

Prime Factorization of 67446

Now multiplying the highest exponent prime factors to calculate the LCM of 67428 and 67446.

LCM(67428,67446) = 2² × 3³ × 1873¹ × 1249¹
LCM(67428,67446) = 252652716