What is the Least Common Multiple of 61825 and 61841?

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 61825 and 61841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61825 and 61841, than apply into the LCM equation.

GCF(61825,61841) = 1
LCM(61825,61841) = ( 61825 × 61841) / 1
LCM(61825,61841) = 3823319825 / 1
LCM(61825,61841) = 3823319825

Least Common Multiple (LCM) of 61825 and 61841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61825 and 61841. First we will calculate the prime factors of 61825 and 61841.

Prime Factorization of 61825

Prime Factorization of 61841

Now multiplying the highest exponent prime factors to calculate the LCM of 61825 and 61841.

LCM(61825,61841) = 5² × 2473¹ × 13¹ × 67¹ × 71¹
LCM(61825,61841) = 3823319825