What is the Least Common Multiple of 78147 and 78159?

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 78147 and 78159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78147 and 78159, than apply into the LCM equation.

GCF(78147,78159) = 3
LCM(78147,78159) = ( 78147 × 78159) / 3
LCM(78147,78159) = 6107891373 / 3
LCM(78147,78159) = 2035963791

Least Common Multiple (LCM) of 78147 and 78159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78147 and 78159. First we will calculate the prime factors of 78147 and 78159.

Prime Factorization of 78147

Prime Factorization of 78159

Now multiplying the highest exponent prime factors to calculate the LCM of 78147 and 78159.

LCM(78147,78159) = 3² × 19¹ × 457¹ × 26053¹
LCM(78147,78159) = 2035963791