What is the Least Common Multiple of 91696 and 91700?

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 91696 and 91700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91696 and 91700, than apply into the LCM equation.

GCF(91696,91700) = 4
LCM(91696,91700) = ( 91696 × 91700) / 4
LCM(91696,91700) = 8408523200 / 4
LCM(91696,91700) = 2102130800

Least Common Multiple (LCM) of 91696 and 91700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91696 and 91700. First we will calculate the prime factors of 91696 and 91700.

Prime Factorization of 91696

Prime Factorization of 91700

Now multiplying the highest exponent prime factors to calculate the LCM of 91696 and 91700.

LCM(91696,91700) = 2⁴ × 11¹ × 521¹ × 5² × 7¹ × 131¹
LCM(91696,91700) = 2102130800