What is the Least Common Multiple of 97384 and 97402?

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 97384 and 97402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97384 and 97402, than apply into the LCM equation.

GCF(97384,97402) = 2
LCM(97384,97402) = ( 97384 × 97402) / 2
LCM(97384,97402) = 9485396368 / 2
LCM(97384,97402) = 4742698184

Least Common Multiple (LCM) of 97384 and 97402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97384 and 97402. First we will calculate the prime factors of 97384 and 97402.

Prime Factorization of 97384

Prime Factorization of 97402

Now multiplying the highest exponent prime factors to calculate the LCM of 97384 and 97402.

LCM(97384,97402) = 2³ × 7¹ × 37¹ × 47¹ × 31¹ × 1571¹
LCM(97384,97402) = 4742698184