What is the Least Common Multiple of 77842 and 77857?

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 77842 and 77857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77842 and 77857, than apply into the LCM equation.

GCF(77842,77857) = 1
LCM(77842,77857) = ( 77842 × 77857) / 1
LCM(77842,77857) = 6060544594 / 1
LCM(77842,77857) = 6060544594

Least Common Multiple (LCM) of 77842 and 77857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77842 and 77857. First we will calculate the prime factors of 77842 and 77857.

Prime Factorization of 77842

Prime Factorization of 77857

Now multiplying the highest exponent prime factors to calculate the LCM of 77842 and 77857.

LCM(77842,77857) = 2¹ × 38921¹ × 13¹ × 53¹ × 113¹
LCM(77842,77857) = 6060544594