What is the Least Common Multiple of 78128 and 78134?

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 78128 and 78134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78128 and 78134, than apply into the LCM equation.

GCF(78128,78134) = 2
LCM(78128,78134) = ( 78128 × 78134) / 2
LCM(78128,78134) = 6104453152 / 2
LCM(78128,78134) = 3052226576

Least Common Multiple (LCM) of 78128 and 78134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78128 and 78134. First we will calculate the prime factors of 78128 and 78134.

Prime Factorization of 78128

Prime Factorization of 78134

Now multiplying the highest exponent prime factors to calculate the LCM of 78128 and 78134.

LCM(78128,78134) = 2⁴ × 19¹ × 257¹ × 7¹ × 5581¹
LCM(78128,78134) = 3052226576