What is the Least Common Multiple of 71570 and 71588?

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 71570 and 71588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71570 and 71588, than apply into the LCM equation.

GCF(71570,71588) = 2
LCM(71570,71588) = ( 71570 × 71588) / 2
LCM(71570,71588) = 5123553160 / 2
LCM(71570,71588) = 2561776580

Least Common Multiple (LCM) of 71570 and 71588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71570 and 71588. First we will calculate the prime factors of 71570 and 71588.

Prime Factorization of 71570

Prime Factorization of 71588

Now multiplying the highest exponent prime factors to calculate the LCM of 71570 and 71588.

LCM(71570,71588) = 2² × 5¹ × 17¹ × 421¹ × 11¹ × 1627¹
LCM(71570,71588) = 2561776580