What is the Least Common Multiple of 97245 and 97260?

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 97245 and 97260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97245 and 97260, than apply into the LCM equation.

GCF(97245,97260) = 15
LCM(97245,97260) = ( 97245 × 97260) / 15
LCM(97245,97260) = 9458048700 / 15
LCM(97245,97260) = 630536580

Least Common Multiple (LCM) of 97245 and 97260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97245 and 97260. First we will calculate the prime factors of 97245 and 97260.

Prime Factorization of 97245

Prime Factorization of 97260

Now multiplying the highest exponent prime factors to calculate the LCM of 97245 and 97260.

LCM(97245,97260) = 3² × 5¹ × 2161¹ × 2² × 1621¹
LCM(97245,97260) = 630536580