What is the Least Common Multiple of 77252 and 77266?

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 77252 and 77266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77252 and 77266, than apply into the LCM equation.

GCF(77252,77266) = 14
LCM(77252,77266) = ( 77252 × 77266) / 14
LCM(77252,77266) = 5968953032 / 14
LCM(77252,77266) = 426353788

Least Common Multiple (LCM) of 77252 and 77266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77252 and 77266. First we will calculate the prime factors of 77252 and 77266.

Prime Factorization of 77252

Prime Factorization of 77266

Now multiplying the highest exponent prime factors to calculate the LCM of 77252 and 77266.

LCM(77252,77266) = 2² × 7¹ × 31¹ × 89¹ × 5519¹
LCM(77252,77266) = 426353788