What is the Least Common Multiple of 70514 and 70532?

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 70514 and 70532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70514 and 70532, than apply into the LCM equation.

GCF(70514,70532) = 2
LCM(70514,70532) = ( 70514 × 70532) / 2
LCM(70514,70532) = 4973493448 / 2
LCM(70514,70532) = 2486746724

Least Common Multiple (LCM) of 70514 and 70532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70514 and 70532. First we will calculate the prime factors of 70514 and 70532.

Prime Factorization of 70514

Prime Factorization of 70532

Now multiplying the highest exponent prime factors to calculate the LCM of 70514 and 70532.

LCM(70514,70532) = 2² × 35257¹ × 7¹ × 11¹ × 229¹
LCM(70514,70532) = 2486746724