What is the Least Common Multiple of 77724 and 77742?

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 77724 and 77742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77724 and 77742, than apply into the LCM equation.

GCF(77724,77742) = 18
LCM(77724,77742) = ( 77724 × 77742) / 18
LCM(77724,77742) = 6042419208 / 18
LCM(77724,77742) = 335689956

Least Common Multiple (LCM) of 77724 and 77742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77724 and 77742. First we will calculate the prime factors of 77724 and 77742.

Prime Factorization of 77724

Prime Factorization of 77742

Now multiplying the highest exponent prime factors to calculate the LCM of 77724 and 77742.

LCM(77724,77742) = 2² × 3² × 17¹ × 127¹ × 7¹ × 617¹
LCM(77724,77742) = 335689956