What is the Least Common Multiple of 97209 and 97221?

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 97209 and 97221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97209 and 97221, than apply into the LCM equation.

GCF(97209,97221) = 3
LCM(97209,97221) = ( 97209 × 97221) / 3
LCM(97209,97221) = 9450756189 / 3
LCM(97209,97221) = 3150252063

Least Common Multiple (LCM) of 97209 and 97221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97209 and 97221. First we will calculate the prime factors of 97209 and 97221.

Prime Factorization of 97209

Prime Factorization of 97221

Now multiplying the highest exponent prime factors to calculate the LCM of 97209 and 97221.

LCM(97209,97221) = 3² × 7¹ × 1543¹ × 23¹ × 1409¹
LCM(97209,97221) = 3150252063