What is the Least Common Multiple of 97215 and 97232?

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 97215 and 97232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97215 and 97232, than apply into the LCM equation.

GCF(97215,97232) = 1
LCM(97215,97232) = ( 97215 × 97232) / 1
LCM(97215,97232) = 9452408880 / 1
LCM(97215,97232) = 9452408880

Least Common Multiple (LCM) of 97215 and 97232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97215 and 97232. First we will calculate the prime factors of 97215 and 97232.

Prime Factorization of 97215

Prime Factorization of 97232

Now multiplying the highest exponent prime factors to calculate the LCM of 97215 and 97232.

LCM(97215,97232) = 3¹ × 5¹ × 6481¹ × 2⁴ × 59¹ × 103¹
LCM(97215,97232) = 9452408880