What is the Least Common Multiple of 70729 and 70735?

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 70729 and 70735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70729 and 70735, than apply into the LCM equation.

GCF(70729,70735) = 1
LCM(70729,70735) = ( 70729 × 70735) / 1
LCM(70729,70735) = 5003015815 / 1
LCM(70729,70735) = 5003015815

Least Common Multiple (LCM) of 70729 and 70735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70729 and 70735. First we will calculate the prime factors of 70729 and 70735.

Prime Factorization of 70729

Prime Factorization of 70735

Now multiplying the highest exponent prime factors to calculate the LCM of 70729 and 70735.

LCM(70729,70735) = 70729¹ × 5¹ × 7¹ × 43¹ × 47¹
LCM(70729,70735) = 5003015815