What is the Least Common Multiple of 77256 and 77273?

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 77256 and 77273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77256 and 77273, than apply into the LCM equation.

GCF(77256,77273) = 1
LCM(77256,77273) = ( 77256 × 77273) / 1
LCM(77256,77273) = 5969802888 / 1
LCM(77256,77273) = 5969802888

Least Common Multiple (LCM) of 77256 and 77273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77256 and 77273. First we will calculate the prime factors of 77256 and 77273.

Prime Factorization of 77256

Prime Factorization of 77273

Now multiplying the highest exponent prime factors to calculate the LCM of 77256 and 77273.

LCM(77256,77273) = 2³ × 3² × 29¹ × 37¹ × 7² × 19¹ × 83¹
LCM(77256,77273) = 5969802888