What is the Least Common Multiple of 70845 and 70865?

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 70845 and 70865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70845 and 70865, than apply into the LCM equation.

GCF(70845,70865) = 5
LCM(70845,70865) = ( 70845 × 70865) / 5
LCM(70845,70865) = 5020430925 / 5
LCM(70845,70865) = 1004086185

Least Common Multiple (LCM) of 70845 and 70865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70845 and 70865. First we will calculate the prime factors of 70845 and 70865.

Prime Factorization of 70845

Prime Factorization of 70865

Now multiplying the highest exponent prime factors to calculate the LCM of 70845 and 70865.

LCM(70845,70865) = 3¹ × 5¹ × 4723¹ × 14173¹
LCM(70845,70865) = 1004086185