What is the Least Common Multiple of 75805 and 75815?

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 75805 and 75815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75805 and 75815, than apply into the LCM equation.

GCF(75805,75815) = 5
LCM(75805,75815) = ( 75805 × 75815) / 5
LCM(75805,75815) = 5747156075 / 5
LCM(75805,75815) = 1149431215

Least Common Multiple (LCM) of 75805 and 75815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75805 and 75815. First we will calculate the prime factors of 75805 and 75815.

Prime Factorization of 75805

Prime Factorization of 75815

Now multiplying the highest exponent prime factors to calculate the LCM of 75805 and 75815.

LCM(75805,75815) = 5¹ × 15161¹ × 59¹ × 257¹
LCM(75805,75815) = 1149431215