What is the Least Common Multiple of 67125 and 67144?

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 67125 and 67144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67125 and 67144, than apply into the LCM equation.

GCF(67125,67144) = 1
LCM(67125,67144) = ( 67125 × 67144) / 1
LCM(67125,67144) = 4507041000 / 1
LCM(67125,67144) = 4507041000

Least Common Multiple (LCM) of 67125 and 67144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67125 and 67144. First we will calculate the prime factors of 67125 and 67144.

Prime Factorization of 67125

Prime Factorization of 67144

Now multiplying the highest exponent prime factors to calculate the LCM of 67125 and 67144.

LCM(67125,67144) = 3¹ × 5³ × 179¹ × 2³ × 7¹ × 11¹ × 109¹
LCM(67125,67144) = 4507041000