What is the Least Common Multiple of 77401 and 77421?

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 77401 and 77421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77401 and 77421, than apply into the LCM equation.

GCF(77401,77421) = 1
LCM(77401,77421) = ( 77401 × 77421) / 1
LCM(77401,77421) = 5992462821 / 1
LCM(77401,77421) = 5992462821

Least Common Multiple (LCM) of 77401 and 77421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77401 and 77421. First we will calculate the prime factors of 77401 and 77421.

Prime Factorization of 77401

Prime Factorization of 77421

Now multiplying the highest exponent prime factors to calculate the LCM of 77401 and 77421.

LCM(77401,77421) = 17¹ × 29¹ × 157¹ × 3¹ × 131¹ × 197¹
LCM(77401,77421) = 5992462821