What is the Least Common Multiple of 97728 and 97735?

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 97735 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 97735, than apply into the LCM equation.

GCF(97728,97735) = 1
LCM(97728,97735) = ( 97728 × 97735) / 1
LCM(97728,97735) = 9551446080 / 1
LCM(97728,97735) = 9551446080

Least Common Multiple (LCM) of 97728 and 97735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97728 and 97735. First we will calculate the prime factors of 97728 and 97735.

Prime Factorization of 97728

Prime Factorization of 97735

Now multiplying the highest exponent prime factors to calculate the LCM of 97728 and 97735.

LCM(97728,97735) = 2⁶ × 3¹ × 509¹ × 5¹ × 11¹ × 1777¹
LCM(97728,97735) = 9551446080