What is the Least Common Multiple of 62145 and 62165?

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 62145 and 62165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62145 and 62165, than apply into the LCM equation.

GCF(62145,62165) = 5
LCM(62145,62165) = ( 62145 × 62165) / 5
LCM(62145,62165) = 3863243925 / 5
LCM(62145,62165) = 772648785

Least Common Multiple (LCM) of 62145 and 62165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62145 and 62165. First we will calculate the prime factors of 62145 and 62165.

Prime Factorization of 62145

Prime Factorization of 62165

Now multiplying the highest exponent prime factors to calculate the LCM of 62145 and 62165.

LCM(62145,62165) = 3² × 5¹ × 1381¹ × 12433¹
LCM(62145,62165) = 772648785