What is the Least Common Multiple of 62042 and 62048?

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 62042 and 62048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62042 and 62048, than apply into the LCM equation.

GCF(62042,62048) = 2
LCM(62042,62048) = ( 62042 × 62048) / 2
LCM(62042,62048) = 3849582016 / 2
LCM(62042,62048) = 1924791008

Least Common Multiple (LCM) of 62042 and 62048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62042 and 62048. First we will calculate the prime factors of 62042 and 62048.

Prime Factorization of 62042

Prime Factorization of 62048

Now multiplying the highest exponent prime factors to calculate the LCM of 62042 and 62048.

LCM(62042,62048) = 2⁵ × 67¹ × 463¹ × 7¹ × 277¹
LCM(62042,62048) = 1924791008