What is the Least Common Multiple of 78320 and 78338?

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 78320 and 78338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78320 and 78338, than apply into the LCM equation.

GCF(78320,78338) = 2
LCM(78320,78338) = ( 78320 × 78338) / 2
LCM(78320,78338) = 6135432160 / 2
LCM(78320,78338) = 3067716080

Least Common Multiple (LCM) of 78320 and 78338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78320 and 78338. First we will calculate the prime factors of 78320 and 78338.

Prime Factorization of 78320

Prime Factorization of 78338

Now multiplying the highest exponent prime factors to calculate the LCM of 78320 and 78338.

LCM(78320,78338) = 2⁴ × 5¹ × 11¹ × 89¹ × 13¹ × 23¹ × 131¹
LCM(78320,78338) = 3067716080