What is the Least Common Multiple of 52902 and 52919?

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 52902 and 52919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52902 and 52919, than apply into the LCM equation.

GCF(52902,52919) = 1
LCM(52902,52919) = ( 52902 × 52919) / 1
LCM(52902,52919) = 2799520938 / 1
LCM(52902,52919) = 2799520938

Least Common Multiple (LCM) of 52902 and 52919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52902 and 52919. First we will calculate the prime factors of 52902 and 52919.

Prime Factorization of 52902

Prime Factorization of 52919

Now multiplying the highest exponent prime factors to calculate the LCM of 52902 and 52919.

LCM(52902,52919) = 2¹ × 3² × 2939¹ × 52919¹
LCM(52902,52919) = 2799520938