What is the Least Common Multiple of 77892 and 77904?

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 77892 and 77904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77892 and 77904, than apply into the LCM equation.

GCF(77892,77904) = 12
LCM(77892,77904) = ( 77892 × 77904) / 12
LCM(77892,77904) = 6068098368 / 12
LCM(77892,77904) = 505674864

Least Common Multiple (LCM) of 77892 and 77904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77892 and 77904. First we will calculate the prime factors of 77892 and 77904.

Prime Factorization of 77892

Prime Factorization of 77904

Now multiplying the highest exponent prime factors to calculate the LCM of 77892 and 77904.

LCM(77892,77904) = 2⁴ × 3² × 6491¹ × 541¹
LCM(77892,77904) = 505674864