What is the Least Common Multiple of 67660 and 67670?

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 67660 and 67670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67660 and 67670, than apply into the LCM equation.

GCF(67660,67670) = 10
LCM(67660,67670) = ( 67660 × 67670) / 10
LCM(67660,67670) = 4578552200 / 10
LCM(67660,67670) = 457855220

Least Common Multiple (LCM) of 67660 and 67670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67660 and 67670. First we will calculate the prime factors of 67660 and 67670.

Prime Factorization of 67660

Prime Factorization of 67670

Now multiplying the highest exponent prime factors to calculate the LCM of 67660 and 67670.

LCM(67660,67670) = 2² × 5¹ × 17¹ × 199¹ × 67¹ × 101¹
LCM(67660,67670) = 457855220