What is the Least Common Multiple of 47697 and 47703?

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 47697 and 47703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47697 and 47703, than apply into the LCM equation.

GCF(47697,47703) = 3
LCM(47697,47703) = ( 47697 × 47703) / 3
LCM(47697,47703) = 2275289991 / 3
LCM(47697,47703) = 758429997

Least Common Multiple (LCM) of 47697 and 47703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47697 and 47703. First we will calculate the prime factors of 47697 and 47703.

Prime Factorization of 47697

Prime Factorization of 47703

Now multiplying the highest exponent prime factors to calculate the LCM of 47697 and 47703.

LCM(47697,47703) = 3¹ × 13¹ × 1223¹ × 15901¹
LCM(47697,47703) = 758429997