What is the Least Common Multiple of 77744 and 77758?

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 77744 and 77758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77744 and 77758, than apply into the LCM equation.

GCF(77744,77758) = 2
LCM(77744,77758) = ( 77744 × 77758) / 2
LCM(77744,77758) = 6045217952 / 2
LCM(77744,77758) = 3022608976

Least Common Multiple (LCM) of 77744 and 77758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77744 and 77758. First we will calculate the prime factors of 77744 and 77758.

Prime Factorization of 77744

Prime Factorization of 77758

Now multiplying the highest exponent prime factors to calculate the LCM of 77744 and 77758.

LCM(77744,77758) = 2⁴ × 43¹ × 113¹ × 17¹ × 2287¹
LCM(77744,77758) = 3022608976