What is the Least Common Multiple of 61370 and 61389?

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 61370 and 61389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61370 and 61389, than apply into the LCM equation.

GCF(61370,61389) = 19
LCM(61370,61389) = ( 61370 × 61389) / 19
LCM(61370,61389) = 3767442930 / 19
LCM(61370,61389) = 198286470

Least Common Multiple (LCM) of 61370 and 61389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61370 and 61389. First we will calculate the prime factors of 61370 and 61389.

Prime Factorization of 61370

Prime Factorization of 61389

Now multiplying the highest exponent prime factors to calculate the LCM of 61370 and 61389.

LCM(61370,61389) = 2¹ × 5¹ × 17¹ × 19² × 3² × 359¹
LCM(61370,61389) = 198286470