What is the Least Common Multiple of 35676 and 35680?

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 35676 and 35680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35676 and 35680, than apply into the LCM equation.

GCF(35676,35680) = 4
LCM(35676,35680) = ( 35676 × 35680) / 4
LCM(35676,35680) = 1272919680 / 4
LCM(35676,35680) = 318229920

Least Common Multiple (LCM) of 35676 and 35680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35676 and 35680. First we will calculate the prime factors of 35676 and 35680.

Prime Factorization of 35676

Prime Factorization of 35680

Now multiplying the highest exponent prime factors to calculate the LCM of 35676 and 35680.

LCM(35676,35680) = 2⁵ × 3² × 991¹ × 5¹ × 223¹
LCM(35676,35680) = 318229920