What is the Least Common Multiple of 91834 and 91852?

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 91834 and 91852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91834 and 91852, than apply into the LCM equation.

GCF(91834,91852) = 2
LCM(91834,91852) = ( 91834 × 91852) / 2
LCM(91834,91852) = 8435136568 / 2
LCM(91834,91852) = 4217568284

Least Common Multiple (LCM) of 91834 and 91852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91834 and 91852. First we will calculate the prime factors of 91834 and 91852.

Prime Factorization of 91834

Prime Factorization of 91852

Now multiplying the highest exponent prime factors to calculate the LCM of 91834 and 91852.

LCM(91834,91852) = 2² × 17¹ × 37¹ × 73¹ × 22963¹
LCM(91834,91852) = 4217568284