What is the Least Common Multiple of 97728 and 97743?

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 97728 and 97743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97728 and 97743, than apply into the LCM equation.

GCF(97728,97743) = 3
LCM(97728,97743) = ( 97728 × 97743) / 3
LCM(97728,97743) = 9552227904 / 3
LCM(97728,97743) = 3184075968

Least Common Multiple (LCM) of 97728 and 97743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97728 and 97743. First we will calculate the prime factors of 97728 and 97743.

Prime Factorization of 97728

Prime Factorization of 97743

Now multiplying the highest exponent prime factors to calculate the LCM of 97728 and 97743.

LCM(97728,97743) = 2⁶ × 3¹ × 509¹ × 31¹ × 1051¹
LCM(97728,97743) = 3184075968