What is the Least Common Multiple of 76653 and 76670?

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 76653 and 76670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76653 and 76670, than apply into the LCM equation.

GCF(76653,76670) = 17
LCM(76653,76670) = ( 76653 × 76670) / 17
LCM(76653,76670) = 5876985510 / 17
LCM(76653,76670) = 345705030

Least Common Multiple (LCM) of 76653 and 76670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76653 and 76670. First we will calculate the prime factors of 76653 and 76670.

Prime Factorization of 76653

Prime Factorization of 76670

Now multiplying the highest exponent prime factors to calculate the LCM of 76653 and 76670.

LCM(76653,76670) = 3³ × 17¹ × 167¹ × 2¹ × 5¹ × 11¹ × 41¹
LCM(76653,76670) = 345705030