What is the Least Common Multiple of 91749 and 91763?

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 91763 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 91763, than apply into the LCM equation.

GCF(91749,91763) = 7
LCM(91749,91763) = ( 91749 × 91763) / 7
LCM(91749,91763) = 8419163487 / 7
LCM(91749,91763) = 1202737641

Least Common Multiple (LCM) of 91749 and 91763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91749 and 91763. First we will calculate the prime factors of 91749 and 91763.

Prime Factorization of 91749

Prime Factorization of 91763

Now multiplying the highest exponent prime factors to calculate the LCM of 91749 and 91763.

LCM(91749,91763) = 3¹ × 7¹ × 17¹ × 257¹ × 13109¹
LCM(91749,91763) = 1202737641