What is the Least Common Multiple of 42958 and 42962?

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 42958 and 42962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42958 and 42962, than apply into the LCM equation.

GCF(42958,42962) = 2
LCM(42958,42962) = ( 42958 × 42962) / 2
LCM(42958,42962) = 1845561596 / 2
LCM(42958,42962) = 922780798

Least Common Multiple (LCM) of 42958 and 42962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42958 and 42962. First we will calculate the prime factors of 42958 and 42962.

Prime Factorization of 42958

Prime Factorization of 42962

Now multiplying the highest exponent prime factors to calculate the LCM of 42958 and 42962.

LCM(42958,42962) = 2¹ × 47¹ × 457¹ × 21481¹
LCM(42958,42962) = 922780798