What is the Least Common Multiple of 77443 and 77461?

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 77443 and 77461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77443 and 77461, than apply into the LCM equation.

GCF(77443,77461) = 1
LCM(77443,77461) = ( 77443 × 77461) / 1
LCM(77443,77461) = 5998812223 / 1
LCM(77443,77461) = 5998812223

Least Common Multiple (LCM) of 77443 and 77461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77443 and 77461. First we will calculate the prime factors of 77443 and 77461.

Prime Factorization of 77443

Prime Factorization of 77461

Now multiplying the highest exponent prime factors to calculate the LCM of 77443 and 77461.

LCM(77443,77461) = 43¹ × 1801¹ × 71¹ × 1091¹
LCM(77443,77461) = 5998812223