What is the Least Common Multiple of 53996 and 54014?

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 53996 and 54014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53996 and 54014, than apply into the LCM equation.

GCF(53996,54014) = 2
LCM(53996,54014) = ( 53996 × 54014) / 2
LCM(53996,54014) = 2916539944 / 2
LCM(53996,54014) = 1458269972

Least Common Multiple (LCM) of 53996 and 54014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53996 and 54014. First we will calculate the prime factors of 53996 and 54014.

Prime Factorization of 53996

Prime Factorization of 54014

Now multiplying the highest exponent prime factors to calculate the LCM of 53996 and 54014.

LCM(53996,54014) = 2² × 13499¹ × 113¹ × 239¹
LCM(53996,54014) = 1458269972