What is the Least Common Multiple of 70100 and 70105?

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 70100 and 70105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70100 and 70105, than apply into the LCM equation.

GCF(70100,70105) = 5
LCM(70100,70105) = ( 70100 × 70105) / 5
LCM(70100,70105) = 4914360500 / 5
LCM(70100,70105) = 982872100

Least Common Multiple (LCM) of 70100 and 70105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70100 and 70105. First we will calculate the prime factors of 70100 and 70105.

Prime Factorization of 70100

Prime Factorization of 70105

Now multiplying the highest exponent prime factors to calculate the LCM of 70100 and 70105.

LCM(70100,70105) = 2² × 5² × 701¹ × 7¹ × 2003¹
LCM(70100,70105) = 982872100