What is the Least Common Multiple of 52919 and 52928?

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 52919 and 52928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52919 and 52928, than apply into the LCM equation.

GCF(52919,52928) = 1
LCM(52919,52928) = ( 52919 × 52928) / 1
LCM(52919,52928) = 2800896832 / 1
LCM(52919,52928) = 2800896832

Least Common Multiple (LCM) of 52919 and 52928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52919 and 52928. First we will calculate the prime factors of 52919 and 52928.

Prime Factorization of 52919

Prime Factorization of 52928

Now multiplying the highest exponent prime factors to calculate the LCM of 52919 and 52928.

LCM(52919,52928) = 52919¹ × 2⁶ × 827¹
LCM(52919,52928) = 2800896832