What is the Least Common Multiple of 35890 and 35895?

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 35890 and 35895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35890 and 35895, than apply into the LCM equation.

GCF(35890,35895) = 5
LCM(35890,35895) = ( 35890 × 35895) / 5
LCM(35890,35895) = 1288271550 / 5
LCM(35890,35895) = 257654310

Least Common Multiple (LCM) of 35890 and 35895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35890 and 35895. First we will calculate the prime factors of 35890 and 35895.

Prime Factorization of 35890

Prime Factorization of 35895

Now multiplying the highest exponent prime factors to calculate the LCM of 35890 and 35895.

LCM(35890,35895) = 2¹ × 5¹ × 37¹ × 97¹ × 3¹ × 2393¹
LCM(35890,35895) = 257654310