What is the Least Common Multiple of 35560 and 35567?

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 35567 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 35567, than apply into the LCM equation.

GCF(35560,35567) = 7
LCM(35560,35567) = ( 35560 × 35567) / 7
LCM(35560,35567) = 1264762520 / 7
LCM(35560,35567) = 180680360

Least Common Multiple (LCM) of 35560 and 35567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35560 and 35567. First we will calculate the prime factors of 35560 and 35567.

Prime Factorization of 35560

Prime Factorization of 35567

Now multiplying the highest exponent prime factors to calculate the LCM of 35560 and 35567.

LCM(35560,35567) = 2³ × 5¹ × 7¹ × 127¹ × 5081¹
LCM(35560,35567) = 180680360