What is the Least Common Multiple of 58614 and 58629?

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 58614 and 58629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58614 and 58629, than apply into the LCM equation.

GCF(58614,58629) = 3
LCM(58614,58629) = ( 58614 × 58629) / 3
LCM(58614,58629) = 3436480206 / 3
LCM(58614,58629) = 1145493402

Least Common Multiple (LCM) of 58614 and 58629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58614 and 58629. First we will calculate the prime factors of 58614 and 58629.

Prime Factorization of 58614

Prime Factorization of 58629

Now multiplying the highest exponent prime factors to calculate the LCM of 58614 and 58629.

LCM(58614,58629) = 2¹ × 3¹ × 9769¹ × 19543¹
LCM(58614,58629) = 1145493402