What is the Least Common Multiple of 97216 and 97235?

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 97216 and 97235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97216 and 97235, than apply into the LCM equation.

GCF(97216,97235) = 1
LCM(97216,97235) = ( 97216 × 97235) / 1
LCM(97216,97235) = 9452797760 / 1
LCM(97216,97235) = 9452797760

Least Common Multiple (LCM) of 97216 and 97235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97216 and 97235. First we will calculate the prime factors of 97216 and 97235.

Prime Factorization of 97216

Prime Factorization of 97235

Now multiplying the highest exponent prime factors to calculate the LCM of 97216 and 97235.

LCM(97216,97235) = 2⁶ × 7² × 31¹ × 5¹ × 19447¹
LCM(97216,97235) = 9452797760