What is the Least Common Multiple of 77189 and 77202?

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 77189 and 77202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77189 and 77202, than apply into the LCM equation.

GCF(77189,77202) = 1
LCM(77189,77202) = ( 77189 × 77202) / 1
LCM(77189,77202) = 5959145178 / 1
LCM(77189,77202) = 5959145178

Least Common Multiple (LCM) of 77189 and 77202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77189 and 77202. First we will calculate the prime factors of 77189 and 77202.

Prime Factorization of 77189

Prime Factorization of 77202

Now multiplying the highest exponent prime factors to calculate the LCM of 77189 and 77202.

LCM(77189,77202) = 7¹ × 11027¹ × 2¹ × 3² × 4289¹
LCM(77189,77202) = 5959145178