What is the Least Common Multiple of 77178 and 77186?

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 77178 and 77186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77178 and 77186, than apply into the LCM equation.

GCF(77178,77186) = 2
LCM(77178,77186) = ( 77178 × 77186) / 2
LCM(77178,77186) = 5957061108 / 2
LCM(77178,77186) = 2978530554

Least Common Multiple (LCM) of 77178 and 77186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77178 and 77186. First we will calculate the prime factors of 77178 and 77186.

Prime Factorization of 77178

Prime Factorization of 77186

Now multiplying the highest exponent prime factors to calculate the LCM of 77178 and 77186.

LCM(77178,77186) = 2¹ × 3¹ × 19¹ × 677¹ × 38593¹
LCM(77178,77186) = 2978530554