What is the Least Common Multiple of 97892 and 97909?

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 97892 and 97909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97892 and 97909, than apply into the LCM equation.

GCF(97892,97909) = 1
LCM(97892,97909) = ( 97892 × 97909) / 1
LCM(97892,97909) = 9584507828 / 1
LCM(97892,97909) = 9584507828

Least Common Multiple (LCM) of 97892 and 97909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97892 and 97909. First we will calculate the prime factors of 97892 and 97909.

Prime Factorization of 97892

Prime Factorization of 97909

Now multiplying the highest exponent prime factors to calculate the LCM of 97892 and 97909.

LCM(97892,97909) = 2² × 24473¹ × 7¹ × 71¹ × 197¹
LCM(97892,97909) = 9584507828