What is the Least Common Multiple of 52814 and 52820?

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 52814 and 52820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52814 and 52820, than apply into the LCM equation.

GCF(52814,52820) = 2
LCM(52814,52820) = ( 52814 × 52820) / 2
LCM(52814,52820) = 2789635480 / 2
LCM(52814,52820) = 1394817740

Least Common Multiple (LCM) of 52814 and 52820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52814 and 52820. First we will calculate the prime factors of 52814 and 52820.

Prime Factorization of 52814

Prime Factorization of 52820

Now multiplying the highest exponent prime factors to calculate the LCM of 52814 and 52820.

LCM(52814,52820) = 2² × 26407¹ × 5¹ × 19¹ × 139¹
LCM(52814,52820) = 1394817740