What is the Least Common Multiple of 67007 and 67025?

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 67007 and 67025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67007 and 67025, than apply into the LCM equation.

GCF(67007,67025) = 1
LCM(67007,67025) = ( 67007 × 67025) / 1
LCM(67007,67025) = 4491144175 / 1
LCM(67007,67025) = 4491144175

Least Common Multiple (LCM) of 67007 and 67025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67007 and 67025. First we will calculate the prime factors of 67007 and 67025.

Prime Factorization of 67007

Prime Factorization of 67025

Now multiplying the highest exponent prime factors to calculate the LCM of 67007 and 67025.

LCM(67007,67025) = 37¹ × 1811¹ × 5² × 7¹ × 383¹
LCM(67007,67025) = 4491144175