What is the Least Common Multiple of 97104 and 97120?

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 97104 and 97120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97104 and 97120, than apply into the LCM equation.

GCF(97104,97120) = 16
LCM(97104,97120) = ( 97104 × 97120) / 16
LCM(97104,97120) = 9430740480 / 16
LCM(97104,97120) = 589421280

Least Common Multiple (LCM) of 97104 and 97120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97104 and 97120. First we will calculate the prime factors of 97104 and 97120.

Prime Factorization of 97104

Prime Factorization of 97120

Now multiplying the highest exponent prime factors to calculate the LCM of 97104 and 97120.

LCM(97104,97120) = 2⁵ × 3¹ × 7¹ × 17² × 5¹ × 607¹
LCM(97104,97120) = 589421280