GCF and LCM Calculator Logo

What is the Least Common Multiple of 52516 and 52520?

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 (LCM) of 52516 and 52520 is 689535080.

LCM(52516,52520) = 689535080

LCM Calculator and
and

Least Common Multiple of 52516 and 52520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52516 and 52520, than apply into the LCM equation.

GCF(52516,52520) = 4
LCM(52516,52520) = ( 52516 × 52520) / 4
LCM(52516,52520) = 2758140320 / 4
LCM(52516,52520) = 689535080

Least Common Multiple (LCM) of 52516 and 52520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52516 and 52520. First we will calculate the prime factors of 52516 and 52520.

Prime Factorization of 52516

Prime factors of 52516 are 2, 19, 691. Prime factorization of 52516 in exponential form is:

52516 = 22 × 191 × 6911

Prime Factorization of 52520

Prime factors of 52520 are 2, 5, 13, 101. Prime factorization of 52520 in exponential form is:

52520 = 23 × 51 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 52516 and 52520.

LCM(52516,52520) = 23 × 191 × 6911 × 51 × 131 × 1011
LCM(52516,52520) = 689535080