What is the Least Common Multiple of 67050 and 67059?

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 67059 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 67059, than apply into the LCM equation.

GCF(67050,67059) = 9
LCM(67050,67059) = ( 67050 × 67059) / 9
LCM(67050,67059) = 4496305950 / 9
LCM(67050,67059) = 499589550

Least Common Multiple (LCM) of 67050 and 67059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67050 and 67059. First we will calculate the prime factors of 67050 and 67059.

Prime Factorization of 67050

Prime Factorization of 67059

Now multiplying the highest exponent prime factors to calculate the LCM of 67050 and 67059.

LCM(67050,67059) = 2¹ × 3² × 5² × 149¹ × 7451¹
LCM(67050,67059) = 499589550