What is the Least Common Multiple of 91734 and 91749?

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 91734 and 91749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91734 and 91749, than apply into the LCM equation.

GCF(91734,91749) = 3
LCM(91734,91749) = ( 91734 × 91749) / 3
LCM(91734,91749) = 8416502766 / 3
LCM(91734,91749) = 2805500922

Least Common Multiple (LCM) of 91734 and 91749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91734 and 91749. First we will calculate the prime factors of 91734 and 91749.

Prime Factorization of 91734

Prime Factorization of 91749

Now multiplying the highest exponent prime factors to calculate the LCM of 91734 and 91749.

LCM(91734,91749) = 2¹ × 3¹ × 15289¹ × 7¹ × 17¹ × 257¹
LCM(91734,91749) = 2805500922