What is the Least Common Multiple of 77410 and 77422?

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 77410 and 77422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77410 and 77422, than apply into the LCM equation.

GCF(77410,77422) = 2
LCM(77410,77422) = ( 77410 × 77422) / 2
LCM(77410,77422) = 5993237020 / 2
LCM(77410,77422) = 2996618510

Least Common Multiple (LCM) of 77410 and 77422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77410 and 77422. First we will calculate the prime factors of 77410 and 77422.

Prime Factorization of 77410

Prime Factorization of 77422

Now multiplying the highest exponent prime factors to calculate the LCM of 77410 and 77422.

LCM(77410,77422) = 2¹ × 5¹ × 7741¹ × 38711¹
LCM(77410,77422) = 2996618510