What is the Least Common Multiple of 62031 and 62045?

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 62031 and 62045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62031 and 62045, than apply into the LCM equation.

GCF(62031,62045) = 1
LCM(62031,62045) = ( 62031 × 62045) / 1
LCM(62031,62045) = 3848713395 / 1
LCM(62031,62045) = 3848713395

Least Common Multiple (LCM) of 62031 and 62045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62031 and 62045. First we will calculate the prime factors of 62031 and 62045.

Prime Factorization of 62031

Prime Factorization of 62045

Now multiplying the highest exponent prime factors to calculate the LCM of 62031 and 62045.

LCM(62031,62045) = 3¹ × 23¹ × 29¹ × 31¹ × 5¹ × 12409¹
LCM(62031,62045) = 3848713395