What is the Least Common Multiple of 35680 and 35700?

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 35680 and 35700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35680 and 35700, than apply into the LCM equation.

GCF(35680,35700) = 20
LCM(35680,35700) = ( 35680 × 35700) / 20
LCM(35680,35700) = 1273776000 / 20
LCM(35680,35700) = 63688800

Least Common Multiple (LCM) of 35680 and 35700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35680 and 35700. First we will calculate the prime factors of 35680 and 35700.

Prime Factorization of 35680

Prime Factorization of 35700

Now multiplying the highest exponent prime factors to calculate the LCM of 35680 and 35700.

LCM(35680,35700) = 2⁵ × 5² × 223¹ × 3¹ × 7¹ × 17¹
LCM(35680,35700) = 63688800