What is the Least Common Multiple of 77854 and 77867?

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 77854 and 77867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77854 and 77867, than apply into the LCM equation.

GCF(77854,77867) = 1
LCM(77854,77867) = ( 77854 × 77867) / 1
LCM(77854,77867) = 6062257418 / 1
LCM(77854,77867) = 6062257418

Least Common Multiple (LCM) of 77854 and 77867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77854 and 77867. First we will calculate the prime factors of 77854 and 77867.

Prime Factorization of 77854

Prime Factorization of 77867

Now multiplying the highest exponent prime factors to calculate the LCM of 77854 and 77867.

LCM(77854,77867) = 2¹ × 7¹ × 67¹ × 83¹ × 77867¹
LCM(77854,77867) = 6062257418