What is the Least Common Multiple of 88014 and 88030?

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 88014 and 88030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88014 and 88030, than apply into the LCM equation.

GCF(88014,88030) = 2
LCM(88014,88030) = ( 88014 × 88030) / 2
LCM(88014,88030) = 7747872420 / 2
LCM(88014,88030) = 3873936210

Least Common Multiple (LCM) of 88014 and 88030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88014 and 88030. First we will calculate the prime factors of 88014 and 88030.

Prime Factorization of 88014

Prime Factorization of 88030

Now multiplying the highest exponent prime factors to calculate the LCM of 88014 and 88030.

LCM(88014,88030) = 2¹ × 3¹ × 14669¹ × 5¹ × 8803¹
LCM(88014,88030) = 3873936210