What is the Least Common Multiple of 97392 and 97406?

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 97392 and 97406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97392 and 97406, than apply into the LCM equation.

GCF(97392,97406) = 2
LCM(97392,97406) = ( 97392 × 97406) / 2
LCM(97392,97406) = 9486565152 / 2
LCM(97392,97406) = 4743282576

Least Common Multiple (LCM) of 97392 and 97406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97392 and 97406. First we will calculate the prime factors of 97392 and 97406.

Prime Factorization of 97392

Prime Factorization of 97406

Now multiplying the highest exponent prime factors to calculate the LCM of 97392 and 97406.

LCM(97392,97406) = 2⁴ × 3¹ × 2029¹ × 113¹ × 431¹
LCM(97392,97406) = 4743282576