What is the Least Common Multiple of 35560 and 35576?

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 35560 and 35576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35560 and 35576, than apply into the LCM equation.

GCF(35560,35576) = 8
LCM(35560,35576) = ( 35560 × 35576) / 8
LCM(35560,35576) = 1265082560 / 8
LCM(35560,35576) = 158135320

Least Common Multiple (LCM) of 35560 and 35576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35560 and 35576. First we will calculate the prime factors of 35560 and 35576.

Prime Factorization of 35560

Prime Factorization of 35576

Now multiplying the highest exponent prime factors to calculate the LCM of 35560 and 35576.

LCM(35560,35576) = 2³ × 5¹ × 7¹ × 127¹ × 4447¹
LCM(35560,35576) = 158135320