What is the Least Common Multiple of 70095 and 70100?

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 70095 and 70100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70095 and 70100, than apply into the LCM equation.

GCF(70095,70100) = 5
LCM(70095,70100) = ( 70095 × 70100) / 5
LCM(70095,70100) = 4913659500 / 5
LCM(70095,70100) = 982731900

Least Common Multiple (LCM) of 70095 and 70100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70095 and 70100. First we will calculate the prime factors of 70095 and 70100.

Prime Factorization of 70095

Prime Factorization of 70100

Now multiplying the highest exponent prime factors to calculate the LCM of 70095 and 70100.

LCM(70095,70100) = 3¹ × 5² × 4673¹ × 2² × 701¹
LCM(70095,70100) = 982731900