What is the Least Common Multiple of 70559 and 70574?

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 70559 and 70574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70559 and 70574, than apply into the LCM equation.

GCF(70559,70574) = 1
LCM(70559,70574) = ( 70559 × 70574) / 1
LCM(70559,70574) = 4979630866 / 1
LCM(70559,70574) = 4979630866

Least Common Multiple (LCM) of 70559 and 70574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70559 and 70574. First we will calculate the prime factors of 70559 and 70574.

Prime Factorization of 70559

Prime Factorization of 70574

Now multiplying the highest exponent prime factors to calculate the LCM of 70559 and 70574.

LCM(70559,70574) = 37¹ × 1907¹ × 2¹ × 7¹ × 71²
LCM(70559,70574) = 4979630866