What is the Least Common Multiple of 97904 and 97920?

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 97904 and 97920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97904 and 97920, than apply into the LCM equation.

GCF(97904,97920) = 16
LCM(97904,97920) = ( 97904 × 97920) / 16
LCM(97904,97920) = 9586759680 / 16
LCM(97904,97920) = 599172480

Least Common Multiple (LCM) of 97904 and 97920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97904 and 97920. First we will calculate the prime factors of 97904 and 97920.

Prime Factorization of 97904

Prime Factorization of 97920

Now multiplying the highest exponent prime factors to calculate the LCM of 97904 and 97920.

LCM(97904,97920) = 2⁷ × 29¹ × 211¹ × 3² × 5¹ × 17¹
LCM(97904,97920) = 599172480