What is the Least Common Multiple of 88555 and 88570?

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 88555 and 88570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88555 and 88570, than apply into the LCM equation.

GCF(88555,88570) = 5
LCM(88555,88570) = ( 88555 × 88570) / 5
LCM(88555,88570) = 7843316350 / 5
LCM(88555,88570) = 1568663270

Least Common Multiple (LCM) of 88555 and 88570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88555 and 88570. First we will calculate the prime factors of 88555 and 88570.

Prime Factorization of 88555

Prime Factorization of 88570

Now multiplying the highest exponent prime factors to calculate the LCM of 88555 and 88570.

LCM(88555,88570) = 5¹ × 89¹ × 199¹ × 2¹ × 17¹ × 521¹
LCM(88555,88570) = 1568663270