What is the Least Common Multiple of 10180 and 10198?

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 10180 and 10198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10180 and 10198, than apply into the LCM equation.

GCF(10180,10198) = 2
LCM(10180,10198) = ( 10180 × 10198) / 2
LCM(10180,10198) = 103815640 / 2
LCM(10180,10198) = 51907820

Least Common Multiple (LCM) of 10180 and 10198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10180 and 10198. First we will calculate the prime factors of 10180 and 10198.

Prime Factorization of 10180

Prime Factorization of 10198

Now multiplying the highest exponent prime factors to calculate the LCM of 10180 and 10198.

LCM(10180,10198) = 2² × 5¹ × 509¹ × 5099¹
LCM(10180,10198) = 51907820