What is the Least Common Multiple of 97699 and 97713?

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 97699 and 97713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97699 and 97713, than apply into the LCM equation.

GCF(97699,97713) = 7
LCM(97699,97713) = ( 97699 × 97713) / 7
LCM(97699,97713) = 9546462387 / 7
LCM(97699,97713) = 1363780341

Least Common Multiple (LCM) of 97699 and 97713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97699 and 97713. First we will calculate the prime factors of 97699 and 97713.

Prime Factorization of 97699

Prime Factorization of 97713

Now multiplying the highest exponent prime factors to calculate the LCM of 97699 and 97713.

LCM(97699,97713) = 7¹ × 17¹ × 821¹ × 3³ × 11¹ × 47¹
LCM(97699,97713) = 1363780341