What is the Least Common Multiple of 4585 and 4602?

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 4585 and 4602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4585 and 4602, than apply into the LCM equation.

GCF(4585,4602) = 1
LCM(4585,4602) = ( 4585 × 4602) / 1
LCM(4585,4602) = 21100170 / 1
LCM(4585,4602) = 21100170

Least Common Multiple (LCM) of 4585 and 4602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4585 and 4602. First we will calculate the prime factors of 4585 and 4602.

Prime Factorization of 4585

Prime Factorization of 4602

Now multiplying the highest exponent prime factors to calculate the LCM of 4585 and 4602.

LCM(4585,4602) = 5¹ × 7¹ × 131¹ × 2¹ × 3¹ × 13¹ × 59¹
LCM(4585,4602) = 21100170