What is the Least Common Multiple of 4680 and 4690?

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 4680 and 4690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4680 and 4690, than apply into the LCM equation.

GCF(4680,4690) = 10
LCM(4680,4690) = ( 4680 × 4690) / 10
LCM(4680,4690) = 21949200 / 10
LCM(4680,4690) = 2194920

Least Common Multiple (LCM) of 4680 and 4690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4690. First we will calculate the prime factors of 4680 and 4690.

Prime Factorization of 4680

Prime Factorization of 4690

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4690.

LCM(4680,4690) = 2³ × 3² × 5¹ × 13¹ × 7¹ × 67¹
LCM(4680,4690) = 2194920