What is the Least Common Multiple of 78204 and 78222?

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 78204 and 78222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78204 and 78222, than apply into the LCM equation.

GCF(78204,78222) = 6
LCM(78204,78222) = ( 78204 × 78222) / 6
LCM(78204,78222) = 6117273288 / 6
LCM(78204,78222) = 1019545548

Least Common Multiple (LCM) of 78204 and 78222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78204 and 78222. First we will calculate the prime factors of 78204 and 78222.

Prime Factorization of 78204

Prime Factorization of 78222

Now multiplying the highest exponent prime factors to calculate the LCM of 78204 and 78222.

LCM(78204,78222) = 2² × 3¹ × 7³ × 19¹ × 13037¹
LCM(78204,78222) = 1019545548