What is the Least Common Multiple of 97640 and 97650?

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 97640 and 97650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97640 and 97650, than apply into the LCM equation.

GCF(97640,97650) = 10
LCM(97640,97650) = ( 97640 × 97650) / 10
LCM(97640,97650) = 9534546000 / 10
LCM(97640,97650) = 953454600

Least Common Multiple (LCM) of 97640 and 97650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97640 and 97650. First we will calculate the prime factors of 97640 and 97650.

Prime Factorization of 97640

Prime Factorization of 97650

Now multiplying the highest exponent prime factors to calculate the LCM of 97640 and 97650.

LCM(97640,97650) = 2³ × 5² × 2441¹ × 3² × 7¹ × 31¹
LCM(97640,97650) = 953454600