What is the Least Common Multiple of 57902 and 57919?

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 57902 and 57919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57902 and 57919, than apply into the LCM equation.

GCF(57902,57919) = 17
LCM(57902,57919) = ( 57902 × 57919) / 17
LCM(57902,57919) = 3353625938 / 17
LCM(57902,57919) = 197272114

Least Common Multiple (LCM) of 57902 and 57919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57902 and 57919. First we will calculate the prime factors of 57902 and 57919.

Prime Factorization of 57902

Prime Factorization of 57919

Now multiplying the highest exponent prime factors to calculate the LCM of 57902 and 57919.

LCM(57902,57919) = 2¹ × 13¹ × 17¹ × 131¹ × 3407¹
LCM(57902,57919) = 197272114