What is the Least Common Multiple of 76608 and 76621?

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 76608 and 76621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76608 and 76621, than apply into the LCM equation.

GCF(76608,76621) = 1
LCM(76608,76621) = ( 76608 × 76621) / 1
LCM(76608,76621) = 5869781568 / 1
LCM(76608,76621) = 5869781568

Least Common Multiple (LCM) of 76608 and 76621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76608 and 76621. First we will calculate the prime factors of 76608 and 76621.

Prime Factorization of 76608

Prime Factorization of 76621

Now multiplying the highest exponent prime factors to calculate the LCM of 76608 and 76621.

LCM(76608,76621) = 2⁶ × 3² × 7¹ × 19¹ × 193¹ × 397¹
LCM(76608,76621) = 5869781568