What is the Least Common Multiple of 62034 and 62042?

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 62034 and 62042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62034 and 62042, than apply into the LCM equation.

GCF(62034,62042) = 2
LCM(62034,62042) = ( 62034 × 62042) / 2
LCM(62034,62042) = 3848713428 / 2
LCM(62034,62042) = 1924356714

Least Common Multiple (LCM) of 62034 and 62042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62034 and 62042. First we will calculate the prime factors of 62034 and 62042.

Prime Factorization of 62034

Prime Factorization of 62042

Now multiplying the highest exponent prime factors to calculate the LCM of 62034 and 62042.

LCM(62034,62042) = 2¹ × 3¹ × 7² × 211¹ × 67¹ × 463¹
LCM(62034,62042) = 1924356714