What is the Least Common Multiple of 77250 and 77256?

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 77250 and 77256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77250 and 77256, than apply into the LCM equation.

GCF(77250,77256) = 6
LCM(77250,77256) = ( 77250 × 77256) / 6
LCM(77250,77256) = 5968026000 / 6
LCM(77250,77256) = 994671000

Least Common Multiple (LCM) of 77250 and 77256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77250 and 77256. First we will calculate the prime factors of 77250 and 77256.

Prime Factorization of 77250

Prime Factorization of 77256

Now multiplying the highest exponent prime factors to calculate the LCM of 77250 and 77256.

LCM(77250,77256) = 2³ × 3² × 5³ × 103¹ × 29¹ × 37¹
LCM(77250,77256) = 994671000