What is the Least Common Multiple of 77204 and 77210?

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 77210 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 77210, than apply into the LCM equation.

GCF(77204,77210) = 2
LCM(77204,77210) = ( 77204 × 77210) / 2
LCM(77204,77210) = 5960920840 / 2
LCM(77204,77210) = 2980460420

Least Common Multiple (LCM) of 77204 and 77210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77204 and 77210. First we will calculate the prime factors of 77204 and 77210.

Prime Factorization of 77204

Prime Factorization of 77210

Now multiplying the highest exponent prime factors to calculate the LCM of 77204 and 77210.

LCM(77204,77210) = 2² × 19301¹ × 5¹ × 7¹ × 1103¹
LCM(77204,77210) = 2980460420