What is the Least Common Multiple of 97505 and 97520?

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 97505 and 97520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97505 and 97520, than apply into the LCM equation.

GCF(97505,97520) = 5
LCM(97505,97520) = ( 97505 × 97520) / 5
LCM(97505,97520) = 9508687600 / 5
LCM(97505,97520) = 1901737520

Least Common Multiple (LCM) of 97505 and 97520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97505 and 97520. First we will calculate the prime factors of 97505 and 97520.

Prime Factorization of 97505

Prime Factorization of 97520

Now multiplying the highest exponent prime factors to calculate the LCM of 97505 and 97520.

LCM(97505,97520) = 5¹ × 19501¹ × 2⁴ × 23¹ × 53¹
LCM(97505,97520) = 1901737520