What is the Least Common Multiple of 70554 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 70554 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 70554 and 70574, than apply into the LCM equation.

GCF(70554,70574) = 2
LCM(70554,70574) = ( 70554 × 70574) / 2
LCM(70554,70574) = 4979277996 / 2
LCM(70554,70574) = 2489638998

Least Common Multiple (LCM) of 70554 and 70574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70554 and 70574. First we will calculate the prime factors of 70554 and 70574.

Prime Factorization of 70554

Prime Factorization of 70574

Now multiplying the highest exponent prime factors to calculate the LCM of 70554 and 70574.

LCM(70554,70574) = 2¹ × 3¹ × 11¹ × 1069¹ × 7¹ × 71²
LCM(70554,70574) = 2489638998