What is the Least Common Multiple of 4600 and 4609?

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 4600 and 4609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4600 and 4609, than apply into the LCM equation.

GCF(4600,4609) = 1
LCM(4600,4609) = ( 4600 × 4609) / 1
LCM(4600,4609) = 21201400 / 1
LCM(4600,4609) = 21201400

Least Common Multiple (LCM) of 4600 and 4609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4600 and 4609. First we will calculate the prime factors of 4600 and 4609.

Prime Factorization of 4600

Prime Factorization of 4609

Now multiplying the highest exponent prime factors to calculate the LCM of 4600 and 4609.

LCM(4600,4609) = 2³ × 5² × 23¹ × 11¹ × 419¹
LCM(4600,4609) = 21201400