What is the Least Common Multiple of 53998 and 54013?

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 53998 and 54013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53998 and 54013, than apply into the LCM equation.

GCF(53998,54013) = 1
LCM(53998,54013) = ( 53998 × 54013) / 1
LCM(53998,54013) = 2916593974 / 1
LCM(53998,54013) = 2916593974

Least Common Multiple (LCM) of 53998 and 54013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53998 and 54013. First we will calculate the prime factors of 53998 and 54013.

Prime Factorization of 53998

Prime Factorization of 54013

Now multiplying the highest exponent prime factors to calculate the LCM of 53998 and 54013.

LCM(53998,54013) = 2¹ × 7² × 19¹ × 29¹ × 54013¹
LCM(53998,54013) = 2916593974