What is the Least Common Multiple of 97284 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 97284 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 97284 and 97295, than apply into the LCM equation.

GCF(97284,97295) = 11
LCM(97284,97295) = ( 97284 × 97295) / 11
LCM(97284,97295) = 9465246780 / 11
LCM(97284,97295) = 860476980

Least Common Multiple (LCM) of 97284 and 97295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97284 and 97295. First we will calculate the prime factors of 97284 and 97295.

Prime Factorization of 97284

Prime Factorization of 97295

Now multiplying the highest exponent prime factors to calculate the LCM of 97284 and 97295.

LCM(97284,97295) = 2² × 3¹ × 11² × 67¹ × 5¹ × 29¹ × 61¹
LCM(97284,97295) = 860476980