What is the Least Common Multiple of 65870 and 65884?

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 65870 and 65884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65870 and 65884, than apply into the LCM equation.

GCF(65870,65884) = 14
LCM(65870,65884) = ( 65870 × 65884) / 14
LCM(65870,65884) = 4339779080 / 14
LCM(65870,65884) = 309984220

Least Common Multiple (LCM) of 65870 and 65884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65870 and 65884. First we will calculate the prime factors of 65870 and 65884.

Prime Factorization of 65870

Prime Factorization of 65884

Now multiplying the highest exponent prime factors to calculate the LCM of 65870 and 65884.

LCM(65870,65884) = 2² × 5¹ × 7¹ × 941¹ × 13¹ × 181¹
LCM(65870,65884) = 309984220