What is the Least Common Multiple of 78132 and 78149?

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 78132 and 78149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78132 and 78149, than apply into the LCM equation.

GCF(78132,78149) = 17
LCM(78132,78149) = ( 78132 × 78149) / 17
LCM(78132,78149) = 6105937668 / 17
LCM(78132,78149) = 359172804

Least Common Multiple (LCM) of 78132 and 78149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78132 and 78149. First we will calculate the prime factors of 78132 and 78149.

Prime Factorization of 78132

Prime Factorization of 78149

Now multiplying the highest exponent prime factors to calculate the LCM of 78132 and 78149.

LCM(78132,78149) = 2² × 3¹ × 17¹ × 383¹ × 4597¹
LCM(78132,78149) = 359172804