What is the Least Common Multiple of 97432 and 97442?

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 97432 and 97442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97432 and 97442, than apply into the LCM equation.

GCF(97432,97442) = 2
LCM(97432,97442) = ( 97432 × 97442) / 2
LCM(97432,97442) = 9493968944 / 2
LCM(97432,97442) = 4746984472

Least Common Multiple (LCM) of 97432 and 97442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97432 and 97442. First we will calculate the prime factors of 97432 and 97442.

Prime Factorization of 97432

Prime Factorization of 97442

Now multiplying the highest exponent prime factors to calculate the LCM of 97432 and 97442.

LCM(97432,97442) = 2³ × 19¹ × 641¹ × 83¹ × 587¹
LCM(97432,97442) = 4746984472