What is the Least Common Multiple of 97900 and 97919?

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 97900 and 97919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97900 and 97919, than apply into the LCM equation.

GCF(97900,97919) = 1
LCM(97900,97919) = ( 97900 × 97919) / 1
LCM(97900,97919) = 9586270100 / 1
LCM(97900,97919) = 9586270100

Least Common Multiple (LCM) of 97900 and 97919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97900 and 97919. First we will calculate the prime factors of 97900 and 97919.

Prime Factorization of 97900

Prime Factorization of 97919

Now multiplying the highest exponent prime factors to calculate the LCM of 97900 and 97919.

LCM(97900,97919) = 2² × 5² × 11¹ × 89¹ × 97919¹
LCM(97900,97919) = 9586270100