What is the Least Common Multiple of 75410 and 75429?

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 75410 and 75429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75410 and 75429, than apply into the LCM equation.

GCF(75410,75429) = 1
LCM(75410,75429) = ( 75410 × 75429) / 1
LCM(75410,75429) = 5688100890 / 1
LCM(75410,75429) = 5688100890

Least Common Multiple (LCM) of 75410 and 75429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75410 and 75429. First we will calculate the prime factors of 75410 and 75429.

Prime Factorization of 75410

Prime Factorization of 75429

Now multiplying the highest exponent prime factors to calculate the LCM of 75410 and 75429.

LCM(75410,75429) = 2¹ × 5¹ × 7541¹ × 3² × 17² × 29¹
LCM(75410,75429) = 5688100890