What is the Least Common Multiple of 97644 and 97648?

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 97644 and 97648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97644 and 97648, than apply into the LCM equation.

GCF(97644,97648) = 4
LCM(97644,97648) = ( 97644 × 97648) / 4
LCM(97644,97648) = 9534741312 / 4
LCM(97644,97648) = 2383685328

Least Common Multiple (LCM) of 97644 and 97648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97644 and 97648. First we will calculate the prime factors of 97644 and 97648.

Prime Factorization of 97644

Prime Factorization of 97648

Now multiplying the highest exponent prime factors to calculate the LCM of 97644 and 97648.

LCM(97644,97648) = 2⁴ × 3¹ × 79¹ × 103¹ × 17¹ × 359¹
LCM(97644,97648) = 2383685328