What is the Least Common Multiple of 67250 and 67268?

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 67250 and 67268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67250 and 67268, than apply into the LCM equation.

GCF(67250,67268) = 2
LCM(67250,67268) = ( 67250 × 67268) / 2
LCM(67250,67268) = 4523773000 / 2
LCM(67250,67268) = 2261886500

Least Common Multiple (LCM) of 67250 and 67268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67250 and 67268. First we will calculate the prime factors of 67250 and 67268.

Prime Factorization of 67250

Prime Factorization of 67268

Now multiplying the highest exponent prime factors to calculate the LCM of 67250 and 67268.

LCM(67250,67268) = 2² × 5³ × 269¹ × 67¹ × 251¹
LCM(67250,67268) = 2261886500