What is the Least Common Multiple of 97733 and 97747?

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 97733 and 97747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97733 and 97747, than apply into the LCM equation.

GCF(97733,97747) = 1
LCM(97733,97747) = ( 97733 × 97747) / 1
LCM(97733,97747) = 9553107551 / 1
LCM(97733,97747) = 9553107551

Least Common Multiple (LCM) of 97733 and 97747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97733 and 97747. First we will calculate the prime factors of 97733 and 97747.

Prime Factorization of 97733

Prime Factorization of 97747

Now multiplying the highest exponent prime factors to calculate the LCM of 97733 and 97747.

LCM(97733,97747) = 17¹ × 5749¹ × 13¹ × 73¹ × 103¹
LCM(97733,97747) = 9553107551