What is the Least Common Multiple of 97280 and 97292?

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 97280 and 97292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97280 and 97292, than apply into the LCM equation.

GCF(97280,97292) = 4
LCM(97280,97292) = ( 97280 × 97292) / 4
LCM(97280,97292) = 9464565760 / 4
LCM(97280,97292) = 2366141440

Least Common Multiple (LCM) of 97280 and 97292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97280 and 97292. First we will calculate the prime factors of 97280 and 97292.

Prime Factorization of 97280

Prime Factorization of 97292

Now multiplying the highest exponent prime factors to calculate the LCM of 97280 and 97292.

LCM(97280,97292) = 2¹⁰ × 5¹ × 19¹ × 13¹ × 1871¹
LCM(97280,97292) = 2366141440