What is the Least Common Multiple of 97275 and 97295?

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 97275 and 97295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97275 and 97295, than apply into the LCM equation.

GCF(97275,97295) = 5
LCM(97275,97295) = ( 97275 × 97295) / 5
LCM(97275,97295) = 9464371125 / 5
LCM(97275,97295) = 1892874225

Least Common Multiple (LCM) of 97275 and 97295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97275 and 97295. First we will calculate the prime factors of 97275 and 97295.

Prime Factorization of 97275

Prime Factorization of 97295

Now multiplying the highest exponent prime factors to calculate the LCM of 97275 and 97295.

LCM(97275,97295) = 3¹ × 5² × 1297¹ × 11¹ × 29¹ × 61¹
LCM(97275,97295) = 1892874225