What is the Least Common Multiple of 78204 and 78218?

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 78218 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 78218, than apply into the LCM equation.

GCF(78204,78218) = 14
LCM(78204,78218) = ( 78204 × 78218) / 14
LCM(78204,78218) = 6116960472 / 14
LCM(78204,78218) = 436925748

Least Common Multiple (LCM) of 78204 and 78218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78204 and 78218. First we will calculate the prime factors of 78204 and 78218.

Prime Factorization of 78204

Prime Factorization of 78218

Now multiplying the highest exponent prime factors to calculate the LCM of 78204 and 78218.

LCM(78204,78218) = 2² × 3¹ × 7³ × 19¹ × 37¹ × 151¹
LCM(78204,78218) = 436925748