What is the Least Common Multiple of 67050 and 67063?

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 67063 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 67063, than apply into the LCM equation.

GCF(67050,67063) = 1
LCM(67050,67063) = ( 67050 × 67063) / 1
LCM(67050,67063) = 4496574150 / 1
LCM(67050,67063) = 4496574150

Least Common Multiple (LCM) of 67050 and 67063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67050 and 67063. First we will calculate the prime factors of 67050 and 67063.

Prime Factorization of 67050

Prime Factorization of 67063

Now multiplying the highest exponent prime factors to calculate the LCM of 67050 and 67063.

LCM(67050,67063) = 2¹ × 3² × 5² × 149¹ × 199¹ × 337¹
LCM(67050,67063) = 4496574150