What is the Least Common Multiple of 61893 and 61910?

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 61893 and 61910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61893 and 61910, than apply into the LCM equation.

GCF(61893,61910) = 1
LCM(61893,61910) = ( 61893 × 61910) / 1
LCM(61893,61910) = 3831795630 / 1
LCM(61893,61910) = 3831795630

Least Common Multiple (LCM) of 61893 and 61910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61893 and 61910. First we will calculate the prime factors of 61893 and 61910.

Prime Factorization of 61893

Prime Factorization of 61910

Now multiplying the highest exponent prime factors to calculate the LCM of 61893 and 61910.

LCM(61893,61910) = 3² × 13¹ × 23² × 2¹ × 5¹ × 41¹ × 151¹
LCM(61893,61910) = 3831795630