What is the Least Common Multiple of 70835 and 70853?

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 70835 and 70853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70835 and 70853, than apply into the LCM equation.

GCF(70835,70853) = 1
LCM(70835,70853) = ( 70835 × 70853) / 1
LCM(70835,70853) = 5018872255 / 1
LCM(70835,70853) = 5018872255

Least Common Multiple (LCM) of 70835 and 70853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70835 and 70853. First we will calculate the prime factors of 70835 and 70853.

Prime Factorization of 70835

Prime Factorization of 70853

Now multiplying the highest exponent prime factors to calculate the LCM of 70835 and 70853.

LCM(70835,70853) = 5¹ × 31¹ × 457¹ × 70853¹
LCM(70835,70853) = 5018872255