What is the Least Common Multiple of 97600 and 97605?

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 97600 and 97605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97600 and 97605, than apply into the LCM equation.

GCF(97600,97605) = 5
LCM(97600,97605) = ( 97600 × 97605) / 5
LCM(97600,97605) = 9526248000 / 5
LCM(97600,97605) = 1905249600

Least Common Multiple (LCM) of 97600 and 97605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97600 and 97605. First we will calculate the prime factors of 97600 and 97605.

Prime Factorization of 97600

Prime Factorization of 97605

Now multiplying the highest exponent prime factors to calculate the LCM of 97600 and 97605.

LCM(97600,97605) = 2⁶ × 5² × 61¹ × 3⁴ × 241¹
LCM(97600,97605) = 1905249600