What is the Least Common Multiple of 70098 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 70098 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 70098 and 70105, than apply into the LCM equation.

GCF(70098,70105) = 7
LCM(70098,70105) = ( 70098 × 70105) / 7
LCM(70098,70105) = 4914220290 / 7
LCM(70098,70105) = 702031470

Least Common Multiple (LCM) of 70098 and 70105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70098 and 70105. First we will calculate the prime factors of 70098 and 70105.

Prime Factorization of 70098

Prime Factorization of 70105

Now multiplying the highest exponent prime factors to calculate the LCM of 70098 and 70105.

LCM(70098,70105) = 2¹ × 3¹ × 7¹ × 1669¹ × 5¹ × 2003¹
LCM(70098,70105) = 702031470