What is the Least Common Multiple of 86030 and 86048?

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 86030 and 86048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86030 and 86048, than apply into the LCM equation.

GCF(86030,86048) = 2
LCM(86030,86048) = ( 86030 × 86048) / 2
LCM(86030,86048) = 7402709440 / 2
LCM(86030,86048) = 3701354720

Least Common Multiple (LCM) of 86030 and 86048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86030 and 86048. First we will calculate the prime factors of 86030 and 86048.

Prime Factorization of 86030

Prime Factorization of 86048

Now multiplying the highest exponent prime factors to calculate the LCM of 86030 and 86048.

LCM(86030,86048) = 2⁵ × 5¹ × 7¹ × 1229¹ × 2689¹
LCM(86030,86048) = 3701354720