What is the Least Common Multiple of 70735 and 70742?

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 70735 and 70742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70735 and 70742, than apply into the LCM equation.

GCF(70735,70742) = 7
LCM(70735,70742) = ( 70735 × 70742) / 7
LCM(70735,70742) = 5003935370 / 7
LCM(70735,70742) = 714847910

Least Common Multiple (LCM) of 70735 and 70742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70735 and 70742. First we will calculate the prime factors of 70735 and 70742.

Prime Factorization of 70735

Prime Factorization of 70742

Now multiplying the highest exponent prime factors to calculate the LCM of 70735 and 70742.

LCM(70735,70742) = 5¹ × 7¹ × 43¹ × 47¹ × 2¹ × 31¹ × 163¹
LCM(70735,70742) = 714847910