What is the Least Common Multiple of 25653 and 25670?

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 25653 and 25670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25653 and 25670, than apply into the LCM equation.

GCF(25653,25670) = 17
LCM(25653,25670) = ( 25653 × 25670) / 17
LCM(25653,25670) = 658512510 / 17
LCM(25653,25670) = 38736030

Least Common Multiple (LCM) of 25653 and 25670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25653 and 25670. First we will calculate the prime factors of 25653 and 25670.

Prime Factorization of 25653

Prime Factorization of 25670

Now multiplying the highest exponent prime factors to calculate the LCM of 25653 and 25670.

LCM(25653,25670) = 3¹ × 17¹ × 503¹ × 2¹ × 5¹ × 151¹
LCM(25653,25670) = 38736030