What is the Least Common Multiple of 97290 and 97305?

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 97290 and 97305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97290 and 97305, than apply into the LCM equation.

GCF(97290,97305) = 15
LCM(97290,97305) = ( 97290 × 97305) / 15
LCM(97290,97305) = 9466803450 / 15
LCM(97290,97305) = 631120230

Least Common Multiple (LCM) of 97290 and 97305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97290 and 97305. First we will calculate the prime factors of 97290 and 97305.

Prime Factorization of 97290

Prime Factorization of 97305

Now multiplying the highest exponent prime factors to calculate the LCM of 97290 and 97305.

LCM(97290,97305) = 2¹ × 3² × 5¹ × 23¹ × 47¹ × 13¹ × 499¹
LCM(97290,97305) = 631120230