What is the Least Common Multiple of 77996 and 78003?

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 77996 and 78003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77996 and 78003, than apply into the LCM equation.

GCF(77996,78003) = 1
LCM(77996,78003) = ( 77996 × 78003) / 1
LCM(77996,78003) = 6083921988 / 1
LCM(77996,78003) = 6083921988

Least Common Multiple (LCM) of 77996 and 78003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77996 and 78003. First we will calculate the prime factors of 77996 and 78003.

Prime Factorization of 77996

Prime Factorization of 78003

Now multiplying the highest exponent prime factors to calculate the LCM of 77996 and 78003.

LCM(77996,78003) = 2² × 17¹ × 31¹ × 37¹ × 3⁶ × 107¹
LCM(77996,78003) = 6083921988