What is the Least Common Multiple of 78432 and 78450?

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 78432 and 78450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78432 and 78450, than apply into the LCM equation.

GCF(78432,78450) = 6
LCM(78432,78450) = ( 78432 × 78450) / 6
LCM(78432,78450) = 6152990400 / 6
LCM(78432,78450) = 1025498400

Least Common Multiple (LCM) of 78432 and 78450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78432 and 78450. First we will calculate the prime factors of 78432 and 78450.

Prime Factorization of 78432

Prime Factorization of 78450

Now multiplying the highest exponent prime factors to calculate the LCM of 78432 and 78450.

LCM(78432,78450) = 2⁵ × 3¹ × 19¹ × 43¹ × 5² × 523¹
LCM(78432,78450) = 1025498400