What is the Least Common Multiple of 91700 and 91705?

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 91700 and 91705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91700 and 91705, than apply into the LCM equation.

GCF(91700,91705) = 5
LCM(91700,91705) = ( 91700 × 91705) / 5
LCM(91700,91705) = 8409348500 / 5
LCM(91700,91705) = 1681869700

Least Common Multiple (LCM) of 91700 and 91705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91700 and 91705. First we will calculate the prime factors of 91700 and 91705.

Prime Factorization of 91700

Prime Factorization of 91705

Now multiplying the highest exponent prime factors to calculate the LCM of 91700 and 91705.

LCM(91700,91705) = 2² × 5² × 7¹ × 131¹ × 18341¹
LCM(91700,91705) = 1681869700