What is the Least Common Multiple of 88305 and 88312?

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 88305 and 88312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88305 and 88312, than apply into the LCM equation.

GCF(88305,88312) = 7
LCM(88305,88312) = ( 88305 × 88312) / 7
LCM(88305,88312) = 7798391160 / 7
LCM(88305,88312) = 1114055880

Least Common Multiple (LCM) of 88305 and 88312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88305 and 88312. First we will calculate the prime factors of 88305 and 88312.

Prime Factorization of 88305

Prime Factorization of 88312

Now multiplying the highest exponent prime factors to calculate the LCM of 88305 and 88312.

LCM(88305,88312) = 3¹ × 5¹ × 7¹ × 29² × 2³ × 19¹ × 83¹
LCM(88305,88312) = 1114055880