What is the Least Common Multiple of 76999 and 77013?

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 76999 and 77013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76999 and 77013, than apply into the LCM equation.

GCF(76999,77013) = 1
LCM(76999,77013) = ( 76999 × 77013) / 1
LCM(76999,77013) = 5929923987 / 1
LCM(76999,77013) = 5929923987

Least Common Multiple (LCM) of 76999 and 77013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76999 and 77013. First we will calculate the prime factors of 76999 and 77013.

Prime Factorization of 76999

Prime Factorization of 77013

Now multiplying the highest exponent prime factors to calculate the LCM of 76999 and 77013.

LCM(76999,77013) = 13¹ × 5923¹ × 3² × 43¹ × 199¹
LCM(76999,77013) = 5929923987