What is the Least Common Multiple of 77838 and 77851?

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 77838 and 77851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77838 and 77851, than apply into the LCM equation.

GCF(77838,77851) = 1
LCM(77838,77851) = ( 77838 × 77851) / 1
LCM(77838,77851) = 6059766138 / 1
LCM(77838,77851) = 6059766138

Least Common Multiple (LCM) of 77838 and 77851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77838 and 77851. First we will calculate the prime factors of 77838 and 77851.

Prime Factorization of 77838

Prime Factorization of 77851

Now multiplying the highest exponent prime factors to calculate the LCM of 77838 and 77851.

LCM(77838,77851) = 2¹ × 3¹ × 12973¹ × 127¹ × 613¹
LCM(77838,77851) = 6059766138