What is the Least Common Multiple of 97919 and 97937?

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 97919 and 97937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97919 and 97937, than apply into the LCM equation.

GCF(97919,97937) = 1
LCM(97919,97937) = ( 97919 × 97937) / 1
LCM(97919,97937) = 9589893103 / 1
LCM(97919,97937) = 9589893103

Least Common Multiple (LCM) of 97919 and 97937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97919 and 97937. First we will calculate the prime factors of 97919 and 97937.

Prime Factorization of 97919

Prime Factorization of 97937

Now multiplying the highest exponent prime factors to calculate the LCM of 97919 and 97937.

LCM(97919,97937) = 97919¹ × 7¹ × 17¹ × 823¹
LCM(97919,97937) = 9589893103