What is the Least Common Multiple of 71080 and 71090?

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 71080 and 71090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71080 and 71090, than apply into the LCM equation.

GCF(71080,71090) = 10
LCM(71080,71090) = ( 71080 × 71090) / 10
LCM(71080,71090) = 5053077200 / 10
LCM(71080,71090) = 505307720

Least Common Multiple (LCM) of 71080 and 71090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71080 and 71090. First we will calculate the prime factors of 71080 and 71090.

Prime Factorization of 71080

Prime Factorization of 71090

Now multiplying the highest exponent prime factors to calculate the LCM of 71080 and 71090.

LCM(71080,71090) = 2³ × 5¹ × 1777¹ × 7109¹
LCM(71080,71090) = 505307720