What is the Least Common Multiple of 39100 and 39105?

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 39100 and 39105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39100 and 39105, than apply into the LCM equation.

GCF(39100,39105) = 5
LCM(39100,39105) = ( 39100 × 39105) / 5
LCM(39100,39105) = 1529005500 / 5
LCM(39100,39105) = 305801100

Least Common Multiple (LCM) of 39100 and 39105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39100 and 39105. First we will calculate the prime factors of 39100 and 39105.

Prime Factorization of 39100

Prime Factorization of 39105

Now multiplying the highest exponent prime factors to calculate the LCM of 39100 and 39105.

LCM(39100,39105) = 2² × 5² × 17¹ × 23¹ × 3² × 11¹ × 79¹
LCM(39100,39105) = 305801100