What is the Least Common Multiple of 97440 and 97457?

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 97440 and 97457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97440 and 97457, than apply into the LCM equation.

GCF(97440,97457) = 1
LCM(97440,97457) = ( 97440 × 97457) / 1
LCM(97440,97457) = 9496210080 / 1
LCM(97440,97457) = 9496210080

Least Common Multiple (LCM) of 97440 and 97457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97440 and 97457. First we will calculate the prime factors of 97440 and 97457.

Prime Factorization of 97440

Prime Factorization of 97457

Now multiplying the highest exponent prime factors to calculate the LCM of 97440 and 97457.

LCM(97440,97457) = 2⁵ × 3¹ × 5¹ × 7¹ × 29¹ × 41¹ × 2377¹
LCM(97440,97457) = 9496210080