What is the Least Common Multiple of 70958 and 70973?

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 70958 and 70973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70958 and 70973, than apply into the LCM equation.

GCF(70958,70973) = 1
LCM(70958,70973) = ( 70958 × 70973) / 1
LCM(70958,70973) = 5036102134 / 1
LCM(70958,70973) = 5036102134

Least Common Multiple (LCM) of 70958 and 70973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70958 and 70973. First we will calculate the prime factors of 70958 and 70973.

Prime Factorization of 70958

Prime Factorization of 70973

Now multiplying the highest exponent prime factors to calculate the LCM of 70958 and 70973.

LCM(70958,70973) = 2¹ × 17¹ × 2087¹ × 7¹ × 10139¹
LCM(70958,70973) = 5036102134