What is the Least Common Multiple of 67640 and 67650?

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 67640 and 67650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67640 and 67650, than apply into the LCM equation.

GCF(67640,67650) = 10
LCM(67640,67650) = ( 67640 × 67650) / 10
LCM(67640,67650) = 4575846000 / 10
LCM(67640,67650) = 457584600

Least Common Multiple (LCM) of 67640 and 67650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67640 and 67650. First we will calculate the prime factors of 67640 and 67650.

Prime Factorization of 67640

Prime Factorization of 67650

Now multiplying the highest exponent prime factors to calculate the LCM of 67640 and 67650.

LCM(67640,67650) = 2³ × 5² × 19¹ × 89¹ × 3¹ × 11¹ × 41¹
LCM(67640,67650) = 457584600