What is the Least Common Multiple of 78438 and 78455?

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 78438 and 78455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78438 and 78455, than apply into the LCM equation.

GCF(78438,78455) = 17
LCM(78438,78455) = ( 78438 × 78455) / 17
LCM(78438,78455) = 6153853290 / 17
LCM(78438,78455) = 361991370

Least Common Multiple (LCM) of 78438 and 78455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78438 and 78455. First we will calculate the prime factors of 78438 and 78455.

Prime Factorization of 78438

Prime Factorization of 78455

Now multiplying the highest exponent prime factors to calculate the LCM of 78438 and 78455.

LCM(78438,78455) = 2¹ × 3¹ × 17¹ × 769¹ × 5¹ × 13¹ × 71¹
LCM(78438,78455) = 361991370