What is the Least Common Multiple of 51198 and 51213?

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 51198 and 51213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51198 and 51213, than apply into the LCM equation.

GCF(51198,51213) = 3
LCM(51198,51213) = ( 51198 × 51213) / 3
LCM(51198,51213) = 2622003174 / 3
LCM(51198,51213) = 874001058

Least Common Multiple (LCM) of 51198 and 51213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51198 and 51213. First we will calculate the prime factors of 51198 and 51213.

Prime Factorization of 51198

Prime Factorization of 51213

Now multiplying the highest exponent prime factors to calculate the LCM of 51198 and 51213.

LCM(51198,51213) = 2¹ × 3¹ × 7¹ × 23¹ × 53¹ × 43¹ × 397¹
LCM(51198,51213) = 874001058