What is the Least Common Multiple of 4562 and 4576?

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 4562 and 4576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4562 and 4576, than apply into the LCM equation.

GCF(4562,4576) = 2
LCM(4562,4576) = ( 4562 × 4576) / 2
LCM(4562,4576) = 20875712 / 2
LCM(4562,4576) = 10437856

Least Common Multiple (LCM) of 4562 and 4576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4562 and 4576. First we will calculate the prime factors of 4562 and 4576.

Prime Factorization of 4562

Prime Factorization of 4576

Now multiplying the highest exponent prime factors to calculate the LCM of 4562 and 4576.

LCM(4562,4576) = 2⁵ × 2281¹ × 11¹ × 13¹
LCM(4562,4576) = 10437856