What is the Least Common Multiple of 78846 and 78862?

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 78846 and 78862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78846 and 78862, than apply into the LCM equation.

GCF(78846,78862) = 2
LCM(78846,78862) = ( 78846 × 78862) / 2
LCM(78846,78862) = 6217953252 / 2
LCM(78846,78862) = 3108976626

Least Common Multiple (LCM) of 78846 and 78862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78846 and 78862. First we will calculate the prime factors of 78846 and 78862.

Prime Factorization of 78846

Prime Factorization of 78862

Now multiplying the highest exponent prime factors to calculate the LCM of 78846 and 78862.

LCM(78846,78862) = 2¹ × 3¹ × 17¹ × 773¹ × 7¹ × 43¹ × 131¹
LCM(78846,78862) = 3108976626