What is the Least Common Multiple of 77814 and 77832?

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 77814 and 77832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77814 and 77832, than apply into the LCM equation.

GCF(77814,77832) = 18
LCM(77814,77832) = ( 77814 × 77832) / 18
LCM(77814,77832) = 6056419248 / 18
LCM(77814,77832) = 336467736

Least Common Multiple (LCM) of 77814 and 77832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77814 and 77832. First we will calculate the prime factors of 77814 and 77832.

Prime Factorization of 77814

Prime Factorization of 77832

Now multiplying the highest exponent prime factors to calculate the LCM of 77814 and 77832.

LCM(77814,77832) = 2³ × 3³ × 11¹ × 131¹ × 23¹ × 47¹
LCM(77814,77832) = 336467736