What is the Least Common Multiple of 77314 and 77324?

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 77314 and 77324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77314 and 77324, than apply into the LCM equation.

GCF(77314,77324) = 2
LCM(77314,77324) = ( 77314 × 77324) / 2
LCM(77314,77324) = 5978227736 / 2
LCM(77314,77324) = 2989113868

Least Common Multiple (LCM) of 77314 and 77324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77314 and 77324. First we will calculate the prime factors of 77314 and 77324.

Prime Factorization of 77314

Prime Factorization of 77324

Now multiplying the highest exponent prime factors to calculate the LCM of 77314 and 77324.

LCM(77314,77324) = 2² × 29¹ × 31¹ × 43¹ × 13¹ × 1487¹
LCM(77314,77324) = 2989113868