What is the Least Common Multiple of 10034 and 10052?

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 10034 and 10052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10034 and 10052, than apply into the LCM equation.

GCF(10034,10052) = 2
LCM(10034,10052) = ( 10034 × 10052) / 2
LCM(10034,10052) = 100861768 / 2
LCM(10034,10052) = 50430884

Least Common Multiple (LCM) of 10034 and 10052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10034 and 10052. First we will calculate the prime factors of 10034 and 10052.

Prime Factorization of 10034

Prime Factorization of 10052

Now multiplying the highest exponent prime factors to calculate the LCM of 10034 and 10052.

LCM(10034,10052) = 2² × 29¹ × 173¹ × 7¹ × 359¹
LCM(10034,10052) = 50430884