What is the Least Common Multiple of 77710 and 77725?

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 77710 and 77725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77710 and 77725, than apply into the LCM equation.

GCF(77710,77725) = 5
LCM(77710,77725) = ( 77710 × 77725) / 5
LCM(77710,77725) = 6040009750 / 5
LCM(77710,77725) = 1208001950

Least Common Multiple (LCM) of 77710 and 77725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77710 and 77725. First we will calculate the prime factors of 77710 and 77725.

Prime Factorization of 77710

Prime Factorization of 77725

Now multiplying the highest exponent prime factors to calculate the LCM of 77710 and 77725.

LCM(77710,77725) = 2¹ × 5² × 19¹ × 409¹ × 3109¹
LCM(77710,77725) = 1208001950