What is the Least Common Multiple of 65890 and 65905?

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 65890 and 65905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65890 and 65905, than apply into the LCM equation.

GCF(65890,65905) = 5
LCM(65890,65905) = ( 65890 × 65905) / 5
LCM(65890,65905) = 4342480450 / 5
LCM(65890,65905) = 868496090

Least Common Multiple (LCM) of 65890 and 65905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65890 and 65905. First we will calculate the prime factors of 65890 and 65905.

Prime Factorization of 65890

Prime Factorization of 65905

Now multiplying the highest exponent prime factors to calculate the LCM of 65890 and 65905.

LCM(65890,65905) = 2¹ × 5¹ × 11¹ × 599¹ × 7² × 269¹
LCM(65890,65905) = 868496090