What is the Least Common Multiple of 97592 and 97609?

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 97592 and 97609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97592 and 97609, than apply into the LCM equation.

GCF(97592,97609) = 1
LCM(97592,97609) = ( 97592 × 97609) / 1
LCM(97592,97609) = 9525857528 / 1
LCM(97592,97609) = 9525857528

Least Common Multiple (LCM) of 97592 and 97609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97592 and 97609. First we will calculate the prime factors of 97592 and 97609.

Prime Factorization of 97592

Prime Factorization of 97609

Now multiplying the highest exponent prime factors to calculate the LCM of 97592 and 97609.

LCM(97592,97609) = 2³ × 11¹ × 1109¹ × 97609¹
LCM(97592,97609) = 9525857528