What is the Least Common Multiple of 70683 and 70700?

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 70683 and 70700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70683 and 70700, than apply into the LCM equation.

GCF(70683,70700) = 1
LCM(70683,70700) = ( 70683 × 70700) / 1
LCM(70683,70700) = 4997288100 / 1
LCM(70683,70700) = 4997288100

Least Common Multiple (LCM) of 70683 and 70700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70683 and 70700. First we will calculate the prime factors of 70683 and 70700.

Prime Factorization of 70683

Prime Factorization of 70700

Now multiplying the highest exponent prime factors to calculate the LCM of 70683 and 70700.

LCM(70683,70700) = 3¹ × 23561¹ × 2² × 5² × 7¹ × 101¹
LCM(70683,70700) = 4997288100