What is the Least Common Multiple of 86645 and 86650?

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 86645 and 86650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86645 and 86650, than apply into the LCM equation.

GCF(86645,86650) = 5
LCM(86645,86650) = ( 86645 × 86650) / 5
LCM(86645,86650) = 7507789250 / 5
LCM(86645,86650) = 1501557850

Least Common Multiple (LCM) of 86645 and 86650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86645 and 86650. First we will calculate the prime factors of 86645 and 86650.

Prime Factorization of 86645

Prime Factorization of 86650

Now multiplying the highest exponent prime factors to calculate the LCM of 86645 and 86650.

LCM(86645,86650) = 5² × 13¹ × 31¹ × 43¹ × 2¹ × 1733¹
LCM(86645,86650) = 1501557850