What is the Least Common Multiple of 78830 and 78844?

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 78830 and 78844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78830 and 78844, than apply into the LCM equation.

GCF(78830,78844) = 2
LCM(78830,78844) = ( 78830 × 78844) / 2
LCM(78830,78844) = 6215272520 / 2
LCM(78830,78844) = 3107636260

Least Common Multiple (LCM) of 78830 and 78844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78830 and 78844. First we will calculate the prime factors of 78830 and 78844.

Prime Factorization of 78830

Prime Factorization of 78844

Now multiplying the highest exponent prime factors to calculate the LCM of 78830 and 78844.

LCM(78830,78844) = 2² × 5¹ × 7883¹ × 23¹ × 857¹
LCM(78830,78844) = 3107636260