What is the Least Common Multiple of 76983 and 76988?

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 76983 and 76988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76983 and 76988, than apply into the LCM equation.

GCF(76983,76988) = 1
LCM(76983,76988) = ( 76983 × 76988) / 1
LCM(76983,76988) = 5926767204 / 1
LCM(76983,76988) = 5926767204

Least Common Multiple (LCM) of 76983 and 76988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76983 and 76988. First we will calculate the prime factors of 76983 and 76988.

Prime Factorization of 76983

Prime Factorization of 76988

Now multiplying the highest exponent prime factors to calculate the LCM of 76983 and 76988.

LCM(76983,76988) = 3¹ × 67¹ × 383¹ × 2² × 19¹ × 1013¹
LCM(76983,76988) = 5926767204