What is the Least Common Multiple of 23902 and 23919?

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 23902 and 23919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23902 and 23919, than apply into the LCM equation.

GCF(23902,23919) = 17
LCM(23902,23919) = ( 23902 × 23919) / 17
LCM(23902,23919) = 571711938 / 17
LCM(23902,23919) = 33630114

Least Common Multiple (LCM) of 23902 and 23919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23902 and 23919. First we will calculate the prime factors of 23902 and 23919.

Prime Factorization of 23902

Prime Factorization of 23919

Now multiplying the highest exponent prime factors to calculate the LCM of 23902 and 23919.

LCM(23902,23919) = 2¹ × 17¹ × 19¹ × 37¹ × 3¹ × 7¹ × 67¹
LCM(23902,23919) = 33630114