What is the Least Common Multiple of 12958 and 12962?

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 12958 and 12962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12958 and 12962, than apply into the LCM equation.

GCF(12958,12962) = 2
LCM(12958,12962) = ( 12958 × 12962) / 2
LCM(12958,12962) = 167961596 / 2
LCM(12958,12962) = 83980798

Least Common Multiple (LCM) of 12958 and 12962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12958 and 12962. First we will calculate the prime factors of 12958 and 12962.

Prime Factorization of 12958

Prime Factorization of 12962

Now multiplying the highest exponent prime factors to calculate the LCM of 12958 and 12962.

LCM(12958,12962) = 2¹ × 11¹ × 19¹ × 31¹ × 6481¹
LCM(12958,12962) = 83980798