What is the Least Common Multiple of 71050 and 71066?

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 71050 and 71066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71050 and 71066, than apply into the LCM equation.

GCF(71050,71066) = 2
LCM(71050,71066) = ( 71050 × 71066) / 2
LCM(71050,71066) = 5049239300 / 2
LCM(71050,71066) = 2524619650

Least Common Multiple (LCM) of 71050 and 71066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71050 and 71066. First we will calculate the prime factors of 71050 and 71066.

Prime Factorization of 71050

Prime Factorization of 71066

Now multiplying the highest exponent prime factors to calculate the LCM of 71050 and 71066.

LCM(71050,71066) = 2¹ × 5² × 7² × 29¹ × 35533¹
LCM(71050,71066) = 2524619650