What is the Least Common Multiple of 35905 and 35920?

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 35905 and 35920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35905 and 35920, than apply into the LCM equation.

GCF(35905,35920) = 5
LCM(35905,35920) = ( 35905 × 35920) / 5
LCM(35905,35920) = 1289707600 / 5
LCM(35905,35920) = 257941520

Least Common Multiple (LCM) of 35905 and 35920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35905 and 35920. First we will calculate the prime factors of 35905 and 35920.

Prime Factorization of 35905

Prime Factorization of 35920

Now multiplying the highest exponent prime factors to calculate the LCM of 35905 and 35920.

LCM(35905,35920) = 5¹ × 43¹ × 167¹ × 2⁴ × 449¹
LCM(35905,35920) = 257941520