What is the Least Common Multiple of 97575 and 97588?

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 97575 and 97588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97575 and 97588, than apply into the LCM equation.

GCF(97575,97588) = 1
LCM(97575,97588) = ( 97575 × 97588) / 1
LCM(97575,97588) = 9522149100 / 1
LCM(97575,97588) = 9522149100

Least Common Multiple (LCM) of 97575 and 97588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97575 and 97588. First we will calculate the prime factors of 97575 and 97588.

Prime Factorization of 97575

Prime Factorization of 97588

Now multiplying the highest exponent prime factors to calculate the LCM of 97575 and 97588.

LCM(97575,97588) = 3¹ × 5² × 1301¹ × 2² × 31¹ × 787¹
LCM(97575,97588) = 9522149100