What is the Least Common Multiple of 10178 and 10190?

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 10178 and 10190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10178 and 10190, than apply into the LCM equation.

GCF(10178,10190) = 2
LCM(10178,10190) = ( 10178 × 10190) / 2
LCM(10178,10190) = 103713820 / 2
LCM(10178,10190) = 51856910

Least Common Multiple (LCM) of 10178 and 10190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10178 and 10190. First we will calculate the prime factors of 10178 and 10190.

Prime Factorization of 10178

Prime Factorization of 10190

Now multiplying the highest exponent prime factors to calculate the LCM of 10178 and 10190.

LCM(10178,10190) = 2¹ × 7¹ × 727¹ × 5¹ × 1019¹
LCM(10178,10190) = 51856910