What is the Least Common Multiple of 35664 and 35670?

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 35664 and 35670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35664 and 35670, than apply into the LCM equation.

GCF(35664,35670) = 6
LCM(35664,35670) = ( 35664 × 35670) / 6
LCM(35664,35670) = 1272134880 / 6
LCM(35664,35670) = 212022480

Least Common Multiple (LCM) of 35664 and 35670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35664 and 35670. First we will calculate the prime factors of 35664 and 35670.

Prime Factorization of 35664

Prime Factorization of 35670

Now multiplying the highest exponent prime factors to calculate the LCM of 35664 and 35670.

LCM(35664,35670) = 2⁴ × 3¹ × 743¹ × 5¹ × 29¹ × 41¹
LCM(35664,35670) = 212022480