What is the Least Common Multiple of 78435 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 78435 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 78435 and 78450, than apply into the LCM equation.

GCF(78435,78450) = 15
LCM(78435,78450) = ( 78435 × 78450) / 15
LCM(78435,78450) = 6153225750 / 15
LCM(78435,78450) = 410215050

Least Common Multiple (LCM) of 78435 and 78450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78435 and 78450. First we will calculate the prime factors of 78435 and 78450.

Prime Factorization of 78435

Prime Factorization of 78450

Now multiplying the highest exponent prime factors to calculate the LCM of 78435 and 78450.

LCM(78435,78450) = 3³ × 5² × 7¹ × 83¹ × 2¹ × 523¹
LCM(78435,78450) = 410215050