What is the Least Common Multiple of 35880 and 35892?

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 35880 and 35892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35880 and 35892, than apply into the LCM equation.

GCF(35880,35892) = 12
LCM(35880,35892) = ( 35880 × 35892) / 12
LCM(35880,35892) = 1287804960 / 12
LCM(35880,35892) = 107317080

Least Common Multiple (LCM) of 35880 and 35892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35880 and 35892. First we will calculate the prime factors of 35880 and 35892.

Prime Factorization of 35880

Prime Factorization of 35892

Now multiplying the highest exponent prime factors to calculate the LCM of 35880 and 35892.

LCM(35880,35892) = 2³ × 3² × 5¹ × 13¹ × 23¹ × 997¹
LCM(35880,35892) = 107317080