What is the Least Common Multiple of 77835 and 77842?

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 77835 and 77842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77835 and 77842, than apply into the LCM equation.

GCF(77835,77842) = 1
LCM(77835,77842) = ( 77835 × 77842) / 1
LCM(77835,77842) = 6058832070 / 1
LCM(77835,77842) = 6058832070

Least Common Multiple (LCM) of 77835 and 77842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77835 and 77842. First we will calculate the prime factors of 77835 and 77842.

Prime Factorization of 77835

Prime Factorization of 77842

Now multiplying the highest exponent prime factors to calculate the LCM of 77835 and 77842.

LCM(77835,77842) = 3¹ × 5¹ × 5189¹ × 2¹ × 38921¹
LCM(77835,77842) = 6058832070