What is the Least Common Multiple of 9700 and 9705?

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 9700 and 9705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9700 and 9705, than apply into the LCM equation.

GCF(9700,9705) = 5
LCM(9700,9705) = ( 9700 × 9705) / 5
LCM(9700,9705) = 94138500 / 5
LCM(9700,9705) = 18827700

Least Common Multiple (LCM) of 9700 and 9705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9700 and 9705. First we will calculate the prime factors of 9700 and 9705.

Prime Factorization of 9700

Prime Factorization of 9705

Now multiplying the highest exponent prime factors to calculate the LCM of 9700 and 9705.

LCM(9700,9705) = 2² × 5² × 97¹ × 3¹ × 647¹
LCM(9700,9705) = 18827700