What is the Least Common Multiple of 58653 and 58673?

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 58653 and 58673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58653 and 58673, than apply into the LCM equation.

GCF(58653,58673) = 1
LCM(58653,58673) = ( 58653 × 58673) / 1
LCM(58653,58673) = 3441347469 / 1
LCM(58653,58673) = 3441347469

Least Common Multiple (LCM) of 58653 and 58673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58653 and 58673. First we will calculate the prime factors of 58653 and 58673.

Prime Factorization of 58653

Prime Factorization of 58673

Now multiplying the highest exponent prime factors to calculate the LCM of 58653 and 58673.

LCM(58653,58673) = 3² × 7³ × 19¹ × 23¹ × 2551¹
LCM(58653,58673) = 3441347469