What is the Least Common Multiple of 91749 and 91755?

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 91749 and 91755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91749 and 91755, than apply into the LCM equation.

GCF(91749,91755) = 3
LCM(91749,91755) = ( 91749 × 91755) / 3
LCM(91749,91755) = 8418429495 / 3
LCM(91749,91755) = 2806143165

Least Common Multiple (LCM) of 91749 and 91755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91749 and 91755. First we will calculate the prime factors of 91749 and 91755.

Prime Factorization of 91749

Prime Factorization of 91755

Now multiplying the highest exponent prime factors to calculate the LCM of 91749 and 91755.

LCM(91749,91755) = 3² × 7¹ × 17¹ × 257¹ × 5¹ × 2039¹
LCM(91749,91755) = 2806143165