What is the Least Common Multiple of 78435 and 78453?

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 78453 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 78453, than apply into the LCM equation.

GCF(78435,78453) = 9
LCM(78435,78453) = ( 78435 × 78453) / 9
LCM(78435,78453) = 6153461055 / 9
LCM(78435,78453) = 683717895

Least Common Multiple (LCM) of 78435 and 78453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78435 and 78453. First we will calculate the prime factors of 78435 and 78453.

Prime Factorization of 78435

Prime Factorization of 78453

Now multiplying the highest exponent prime factors to calculate the LCM of 78435 and 78453.

LCM(78435,78453) = 3³ × 5¹ × 7¹ × 83¹ × 23¹ × 379¹
LCM(78435,78453) = 683717895