What is the Least Common Multiple of 71260 and 71266?

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 71260 and 71266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71260 and 71266, than apply into the LCM equation.

GCF(71260,71266) = 2
LCM(71260,71266) = ( 71260 × 71266) / 2
LCM(71260,71266) = 5078415160 / 2
LCM(71260,71266) = 2539207580

Least Common Multiple (LCM) of 71260 and 71266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71260 and 71266. First we will calculate the prime factors of 71260 and 71266.

Prime Factorization of 71260

Prime Factorization of 71266

Now multiplying the highest exponent prime factors to calculate the LCM of 71260 and 71266.

LCM(71260,71266) = 2² × 5¹ × 7¹ × 509¹ × 13¹ × 2741¹
LCM(71260,71266) = 2539207580