What is the Least Common Multiple of 630 and 650?

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 630 and 650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 650, than apply into the LCM equation.

GCF(630,650) = 10
LCM(630,650) = ( 630 × 650) / 10
LCM(630,650) = 409500 / 10
LCM(630,650) = 40950

Least Common Multiple (LCM) of 630 and 650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 650. First we will calculate the prime factors of 630 and 650.

Prime Factorization of 630

Prime Factorization of 650

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 650.

LCM(630,650) = 2¹ × 3² × 5² × 7¹ × 13¹
LCM(630,650) = 40950