What is the Least Common Multiple of 97504 and 97510?

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 97504 and 97510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97504 and 97510, than apply into the LCM equation.

GCF(97504,97510) = 2
LCM(97504,97510) = ( 97504 × 97510) / 2
LCM(97504,97510) = 9507615040 / 2
LCM(97504,97510) = 4753807520

Least Common Multiple (LCM) of 97504 and 97510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97504 and 97510. First we will calculate the prime factors of 97504 and 97510.

Prime Factorization of 97504

Prime Factorization of 97510

Now multiplying the highest exponent prime factors to calculate the LCM of 97504 and 97510.

LCM(97504,97510) = 2⁵ × 11¹ × 277¹ × 5¹ × 7² × 199¹
LCM(97504,97510) = 4753807520