What is the Least Common Multiple of 35860 and 35878?

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 35860 and 35878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35860 and 35878, than apply into the LCM equation.

GCF(35860,35878) = 2
LCM(35860,35878) = ( 35860 × 35878) / 2
LCM(35860,35878) = 1286585080 / 2
LCM(35860,35878) = 643292540

Least Common Multiple (LCM) of 35860 and 35878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35860 and 35878. First we will calculate the prime factors of 35860 and 35878.

Prime Factorization of 35860

Prime Factorization of 35878

Now multiplying the highest exponent prime factors to calculate the LCM of 35860 and 35878.

LCM(35860,35878) = 2² × 5¹ × 11¹ × 163¹ × 17939¹
LCM(35860,35878) = 643292540