What is the Least Common Multiple of 97380 and 97393?

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 97380 and 97393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97380 and 97393, than apply into the LCM equation.

GCF(97380,97393) = 1
LCM(97380,97393) = ( 97380 × 97393) / 1
LCM(97380,97393) = 9484130340 / 1
LCM(97380,97393) = 9484130340

Least Common Multiple (LCM) of 97380 and 97393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97380 and 97393. First we will calculate the prime factors of 97380 and 97393.

Prime Factorization of 97380

Prime Factorization of 97393

Now multiplying the highest exponent prime factors to calculate the LCM of 97380 and 97393.

LCM(97380,97393) = 2² × 3² × 5¹ × 541¹ × 17² × 337¹
LCM(97380,97393) = 9484130340