What is the Least Common Multiple of 6613 and 6630?

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 6613 and 6630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6613 and 6630, than apply into the LCM equation.

GCF(6613,6630) = 17
LCM(6613,6630) = ( 6613 × 6630) / 17
LCM(6613,6630) = 43844190 / 17
LCM(6613,6630) = 2579070

Least Common Multiple (LCM) of 6613 and 6630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6613 and 6630. First we will calculate the prime factors of 6613 and 6630.

Prime Factorization of 6613

Prime Factorization of 6630

Now multiplying the highest exponent prime factors to calculate the LCM of 6613 and 6630.

LCM(6613,6630) = 17¹ × 389¹ × 2¹ × 3¹ × 5¹ × 13¹
LCM(6613,6630) = 2579070