What is the Least Common Multiple of 70113 and 70129?

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 70113 and 70129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70113 and 70129, than apply into the LCM equation.

GCF(70113,70129) = 1
LCM(70113,70129) = ( 70113 × 70129) / 1
LCM(70113,70129) = 4916954577 / 1
LCM(70113,70129) = 4916954577

Least Common Multiple (LCM) of 70113 and 70129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70113 and 70129. First we will calculate the prime factors of 70113 and 70129.

Prime Factorization of 70113

Prime Factorization of 70129

Now multiplying the highest exponent prime factors to calculate the LCM of 70113 and 70129.

LCM(70113,70129) = 3¹ × 23371¹ × 19¹ × 3691¹
LCM(70113,70129) = 4916954577