What is the Least Common Multiple of 77217 and 77226?

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 77217 and 77226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77217 and 77226, than apply into the LCM equation.

GCF(77217,77226) = 3
LCM(77217,77226) = ( 77217 × 77226) / 3
LCM(77217,77226) = 5963160042 / 3
LCM(77217,77226) = 1987720014

Least Common Multiple (LCM) of 77217 and 77226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77217 and 77226. First we will calculate the prime factors of 77217 and 77226.

Prime Factorization of 77217

Prime Factorization of 77226

Now multiplying the highest exponent prime factors to calculate the LCM of 77217 and 77226.

LCM(77217,77226) = 3¹ × 7¹ × 3677¹ × 2¹ × 61¹ × 211¹
LCM(77217,77226) = 1987720014