What is the Least Common Multiple of 48178 and 48188?

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 48178 and 48188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48178 and 48188, than apply into the LCM equation.

GCF(48178,48188) = 2
LCM(48178,48188) = ( 48178 × 48188) / 2
LCM(48178,48188) = 2321601464 / 2
LCM(48178,48188) = 1160800732

Least Common Multiple (LCM) of 48178 and 48188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48178 and 48188. First we will calculate the prime factors of 48178 and 48188.

Prime Factorization of 48178

Prime Factorization of 48188

Now multiplying the highest exponent prime factors to calculate the LCM of 48178 and 48188.

LCM(48178,48188) = 2² × 13¹ × 17¹ × 109¹ × 7¹ × 1721¹
LCM(48178,48188) = 1160800732