What is the Least Common Multiple of 76998 and 77017?

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 77017 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 77017, than apply into the LCM equation.

GCF(76998,77017) = 1
LCM(76998,77017) = ( 76998 × 77017) / 1
LCM(76998,77017) = 5930154966 / 1
LCM(76998,77017) = 5930154966

Least Common Multiple (LCM) of 76998 and 77017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76998 and 77017. First we will calculate the prime factors of 76998 and 77017.

Prime Factorization of 76998

Prime Factorization of 77017

Now multiplying the highest exponent prime factors to calculate the LCM of 76998 and 77017.

LCM(76998,77017) = 2¹ × 3¹ × 41¹ × 313¹ × 77017¹
LCM(76998,77017) = 5930154966