What is the Least Common Multiple of 76998 and 77011?

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 76998 and 77011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76998 and 77011, than apply into the LCM equation.

GCF(76998,77011) = 1
LCM(76998,77011) = ( 76998 × 77011) / 1
LCM(76998,77011) = 5929692978 / 1
LCM(76998,77011) = 5929692978

Least Common Multiple (LCM) of 76998 and 77011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76998 and 77011. First we will calculate the prime factors of 76998 and 77011.

Prime Factorization of 76998

Prime Factorization of 77011

Now multiplying the highest exponent prime factors to calculate the LCM of 76998 and 77011.

LCM(76998,77011) = 2¹ × 3¹ × 41¹ × 313¹ × 11¹ × 7001¹
LCM(76998,77011) = 5929692978