What is the Least Common Multiple of 52516 and 52536?

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 52516 and 52536 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 52536, than apply into the LCM equation.

GCF(52516,52536) = 4
LCM(52516,52536) = ( 52516 × 52536) / 4
LCM(52516,52536) = 2758980576 / 4
LCM(52516,52536) = 689745144

Least Common Multiple (LCM) of 52516 and 52536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52516 and 52536. First we will calculate the prime factors of 52516 and 52536.

Prime Factorization of 52516

Prime Factorization of 52536

Now multiplying the highest exponent prime factors to calculate the LCM of 52516 and 52536.

LCM(52516,52536) = 2³ × 19¹ × 691¹ × 3¹ × 11¹ × 199¹
LCM(52516,52536) = 689745144