What is the Least Common Multiple of 67258 and 67271?

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 67258 and 67271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67258 and 67271, than apply into the LCM equation.

GCF(67258,67271) = 1
LCM(67258,67271) = ( 67258 × 67271) / 1
LCM(67258,67271) = 4524512918 / 1
LCM(67258,67271) = 4524512918

Least Common Multiple (LCM) of 67258 and 67271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67258 and 67271. First we will calculate the prime factors of 67258 and 67271.

Prime Factorization of 67258

Prime Factorization of 67271

Now multiplying the highest exponent prime factors to calculate the LCM of 67258 and 67271.

LCM(67258,67271) = 2¹ × 33629¹ × 67271¹
LCM(67258,67271) = 4524512918