What is the Least Common Multiple of 77464 and 77482?

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 77464 and 77482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77464 and 77482, than apply into the LCM equation.

GCF(77464,77482) = 2
LCM(77464,77482) = ( 77464 × 77482) / 2
LCM(77464,77482) = 6002065648 / 2
LCM(77464,77482) = 3001032824

Least Common Multiple (LCM) of 77464 and 77482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77464 and 77482. First we will calculate the prime factors of 77464 and 77482.

Prime Factorization of 77464

Prime Factorization of 77482

Now multiplying the highest exponent prime factors to calculate the LCM of 77464 and 77482.

LCM(77464,77482) = 2³ × 23¹ × 421¹ × 19¹ × 2039¹
LCM(77464,77482) = 3001032824