What is the Least Common Multiple of 89697 and 89703?

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 89697 and 89703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89697 and 89703, than apply into the LCM equation.

GCF(89697,89703) = 3
LCM(89697,89703) = ( 89697 × 89703) / 3
LCM(89697,89703) = 8046089991 / 3
LCM(89697,89703) = 2682029997

Least Common Multiple (LCM) of 89697 and 89703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89697 and 89703. First we will calculate the prime factors of 89697 and 89703.

Prime Factorization of 89697

Prime Factorization of 89703

Now multiplying the highest exponent prime factors to calculate the LCM of 89697 and 89703.

LCM(89697,89703) = 3² × 29¹ × 1031¹ × 9967¹
LCM(89697,89703) = 2682029997