What is the Least Common Multiple of 70815 and 70835?

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 70815 and 70835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70815 and 70835, than apply into the LCM equation.

GCF(70815,70835) = 5
LCM(70815,70835) = ( 70815 × 70835) / 5
LCM(70815,70835) = 5016180525 / 5
LCM(70815,70835) = 1003236105

Least Common Multiple (LCM) of 70815 and 70835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70815 and 70835. First we will calculate the prime factors of 70815 and 70835.

Prime Factorization of 70815

Prime Factorization of 70835

Now multiplying the highest exponent prime factors to calculate the LCM of 70815 and 70835.

LCM(70815,70835) = 3¹ × 5¹ × 4721¹ × 31¹ × 457¹
LCM(70815,70835) = 1003236105