What is the Least Common Multiple of 58646 and 58653?

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 58646 and 58653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58646 and 58653, than apply into the LCM equation.

GCF(58646,58653) = 7
LCM(58646,58653) = ( 58646 × 58653) / 7
LCM(58646,58653) = 3439763838 / 7
LCM(58646,58653) = 491394834

Least Common Multiple (LCM) of 58646 and 58653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58646 and 58653. First we will calculate the prime factors of 58646 and 58653.

Prime Factorization of 58646

Prime Factorization of 58653

Now multiplying the highest exponent prime factors to calculate the LCM of 58646 and 58653.

LCM(58646,58653) = 2¹ × 7³ × 59¹ × 71¹ × 3² × 19¹
LCM(58646,58653) = 491394834