What is the Least Common Multiple of 67050 and 67068?

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 67050 and 67068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67050 and 67068, than apply into the LCM equation.

GCF(67050,67068) = 18
LCM(67050,67068) = ( 67050 × 67068) / 18
LCM(67050,67068) = 4496909400 / 18
LCM(67050,67068) = 249828300

Least Common Multiple (LCM) of 67050 and 67068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67050 and 67068. First we will calculate the prime factors of 67050 and 67068.

Prime Factorization of 67050

Prime Factorization of 67068

Now multiplying the highest exponent prime factors to calculate the LCM of 67050 and 67068.

LCM(67050,67068) = 2² × 3⁶ × 5² × 149¹ × 23¹
LCM(67050,67068) = 249828300