What is the Least Common Multiple of 78834 and 78842?

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 78834 and 78842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78834 and 78842, than apply into the LCM equation.

GCF(78834,78842) = 2
LCM(78834,78842) = ( 78834 × 78842) / 2
LCM(78834,78842) = 6215430228 / 2
LCM(78834,78842) = 3107715114

Least Common Multiple (LCM) of 78834 and 78842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78834 and 78842. First we will calculate the prime factors of 78834 and 78842.

Prime Factorization of 78834

Prime Factorization of 78842

Now multiplying the highest exponent prime factors to calculate the LCM of 78834 and 78842.

LCM(78834,78842) = 2¹ × 3¹ × 7¹ × 1877¹ × 79¹ × 499¹
LCM(78834,78842) = 3107715114