What is the Least Common Multiple of 97440 and 97460?

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 97460 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 97460, than apply into the LCM equation.

GCF(97440,97460) = 20
LCM(97440,97460) = ( 97440 × 97460) / 20
LCM(97440,97460) = 9496502400 / 20
LCM(97440,97460) = 474825120

Least Common Multiple (LCM) of 97440 and 97460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97440 and 97460. First we will calculate the prime factors of 97440 and 97460.

Prime Factorization of 97440

Prime Factorization of 97460

Now multiplying the highest exponent prime factors to calculate the LCM of 97440 and 97460.

LCM(97440,97460) = 2⁵ × 3¹ × 5¹ × 7¹ × 29¹ × 11¹ × 443¹
LCM(97440,97460) = 474825120