What is the Least Common Multiple of 77204 and 77214?

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 77204 and 77214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77204 and 77214, than apply into the LCM equation.

GCF(77204,77214) = 2
LCM(77204,77214) = ( 77204 × 77214) / 2
LCM(77204,77214) = 5961229656 / 2
LCM(77204,77214) = 2980614828

Least Common Multiple (LCM) of 77204 and 77214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77204 and 77214. First we will calculate the prime factors of 77204 and 77214.

Prime Factorization of 77204

Prime Factorization of 77214

Now multiplying the highest exponent prime factors to calculate the LCM of 77204 and 77214.

LCM(77204,77214) = 2² × 19301¹ × 3¹ × 17¹ × 757¹
LCM(77204,77214) = 2980614828