What is the Least Common Multiple of 52928 and 52945?

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 52928 and 52945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52928 and 52945, than apply into the LCM equation.

GCF(52928,52945) = 1
LCM(52928,52945) = ( 52928 × 52945) / 1
LCM(52928,52945) = 2802272960 / 1
LCM(52928,52945) = 2802272960

Least Common Multiple (LCM) of 52928 and 52945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52928 and 52945. First we will calculate the prime factors of 52928 and 52945.

Prime Factorization of 52928

Prime Factorization of 52945

Now multiplying the highest exponent prime factors to calculate the LCM of 52928 and 52945.

LCM(52928,52945) = 2⁶ × 827¹ × 5¹ × 10589¹
LCM(52928,52945) = 2802272960