What is the Least Common Multiple of 91698 and 91703?

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 91698 and 91703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91698 and 91703, than apply into the LCM equation.

GCF(91698,91703) = 1
LCM(91698,91703) = ( 91698 × 91703) / 1
LCM(91698,91703) = 8408981694 / 1
LCM(91698,91703) = 8408981694

Least Common Multiple (LCM) of 91698 and 91703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91698 and 91703. First we will calculate the prime factors of 91698 and 91703.

Prime Factorization of 91698

Prime Factorization of 91703

Now multiplying the highest exponent prime factors to calculate the LCM of 91698 and 91703.

LCM(91698,91703) = 2¹ × 3¹ × 17¹ × 29¹ × 31¹ × 91703¹
LCM(91698,91703) = 8408981694