What is the Least Common Multiple of 70809 and 70827?

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 70809 and 70827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70809 and 70827, than apply into the LCM equation.

GCF(70809,70827) = 3
LCM(70809,70827) = ( 70809 × 70827) / 3
LCM(70809,70827) = 5015189043 / 3
LCM(70809,70827) = 1671729681

Least Common Multiple (LCM) of 70809 and 70827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70809 and 70827. First we will calculate the prime factors of 70809 and 70827.

Prime Factorization of 70809

Prime Factorization of 70827

Now multiplying the highest exponent prime factors to calculate the LCM of 70809 and 70827.

LCM(70809,70827) = 3¹ × 23603¹ × 23609¹
LCM(70809,70827) = 1671729681