What is the Least Common Multiple of 78342 and 78356?

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 78342 and 78356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78342 and 78356, than apply into the LCM equation.

GCF(78342,78356) = 2
LCM(78342,78356) = ( 78342 × 78356) / 2
LCM(78342,78356) = 6138565752 / 2
LCM(78342,78356) = 3069282876

Least Common Multiple (LCM) of 78342 and 78356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78342 and 78356. First we will calculate the prime factors of 78342 and 78356.

Prime Factorization of 78342

Prime Factorization of 78356

Now multiplying the highest exponent prime factors to calculate the LCM of 78342 and 78356.

LCM(78342,78356) = 2² × 3¹ × 11¹ × 1187¹ × 19¹ × 1031¹
LCM(78342,78356) = 3069282876