What is the Least Common Multiple of 77764 and 77770?

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 77764 and 77770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77764 and 77770, than apply into the LCM equation.

GCF(77764,77770) = 2
LCM(77764,77770) = ( 77764 × 77770) / 2
LCM(77764,77770) = 6047706280 / 2
LCM(77764,77770) = 3023853140

Least Common Multiple (LCM) of 77764 and 77770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77764 and 77770. First we will calculate the prime factors of 77764 and 77770.

Prime Factorization of 77764

Prime Factorization of 77770

Now multiplying the highest exponent prime factors to calculate the LCM of 77764 and 77770.

LCM(77764,77770) = 2² × 19441¹ × 5¹ × 7¹ × 11¹ × 101¹
LCM(77764,77770) = 3023853140