What is the Least Common Multiple of 97605 and 97625?

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 97605 and 97625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97605 and 97625, than apply into the LCM equation.

GCF(97605,97625) = 5
LCM(97605,97625) = ( 97605 × 97625) / 5
LCM(97605,97625) = 9528688125 / 5
LCM(97605,97625) = 1905737625

Least Common Multiple (LCM) of 97605 and 97625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97605 and 97625. First we will calculate the prime factors of 97605 and 97625.

Prime Factorization of 97605

Prime Factorization of 97625

Now multiplying the highest exponent prime factors to calculate the LCM of 97605 and 97625.

LCM(97605,97625) = 3⁴ × 5³ × 241¹ × 11¹ × 71¹
LCM(97605,97625) = 1905737625