What is the Least Common Multiple of 65088 and 65100?

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 65088 and 65100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65088 and 65100, than apply into the LCM equation.

GCF(65088,65100) = 12
LCM(65088,65100) = ( 65088 × 65100) / 12
LCM(65088,65100) = 4237228800 / 12
LCM(65088,65100) = 353102400

Least Common Multiple (LCM) of 65088 and 65100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65088 and 65100. First we will calculate the prime factors of 65088 and 65100.

Prime Factorization of 65088

Prime Factorization of 65100

Now multiplying the highest exponent prime factors to calculate the LCM of 65088 and 65100.

LCM(65088,65100) = 2⁶ × 3² × 113¹ × 5² × 7¹ × 31¹
LCM(65088,65100) = 353102400