What is the Least Common Multiple of 97728 and 97734?

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 97734 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 97734, than apply into the LCM equation.

GCF(97728,97734) = 6
LCM(97728,97734) = ( 97728 × 97734) / 6
LCM(97728,97734) = 9551348352 / 6
LCM(97728,97734) = 1591891392

Least Common Multiple (LCM) of 97728 and 97734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97728 and 97734. First we will calculate the prime factors of 97728 and 97734.

Prime Factorization of 97728

Prime Factorization of 97734

Now multiplying the highest exponent prime factors to calculate the LCM of 97728 and 97734.

LCM(97728,97734) = 2⁶ × 3¹ × 509¹ × 7¹ × 13¹ × 179¹
LCM(97728,97734) = 1591891392