What is the Least Common Multiple of 93795 and 93815?

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 93795 and 93815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93795 and 93815, than apply into the LCM equation.

GCF(93795,93815) = 5
LCM(93795,93815) = ( 93795 × 93815) / 5
LCM(93795,93815) = 8799377925 / 5
LCM(93795,93815) = 1759875585

Least Common Multiple (LCM) of 93795 and 93815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93795 and 93815. First we will calculate the prime factors of 93795 and 93815.

Prime Factorization of 93795

Prime Factorization of 93815

Now multiplying the highest exponent prime factors to calculate the LCM of 93795 and 93815.

LCM(93795,93815) = 3¹ × 5¹ × 13² × 37¹ × 29¹ × 647¹
LCM(93795,93815) = 1759875585