What is the Least Common Multiple of 70504 and 70523?

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 70504 and 70523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70504 and 70523, than apply into the LCM equation.

GCF(70504,70523) = 1
LCM(70504,70523) = ( 70504 × 70523) / 1
LCM(70504,70523) = 4972153592 / 1
LCM(70504,70523) = 4972153592

Least Common Multiple (LCM) of 70504 and 70523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70504 and 70523. First we will calculate the prime factors of 70504 and 70523.

Prime Factorization of 70504

Prime Factorization of 70523

Now multiplying the highest exponent prime factors to calculate the LCM of 70504 and 70523.

LCM(70504,70523) = 2³ × 7¹ × 1259¹ × 109¹ × 647¹
LCM(70504,70523) = 4972153592