What is the Least Common Multiple of 58446 and 58457?

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 58446 and 58457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58446 and 58457, than apply into the LCM equation.

GCF(58446,58457) = 1
LCM(58446,58457) = ( 58446 × 58457) / 1
LCM(58446,58457) = 3416577822 / 1
LCM(58446,58457) = 3416577822

Least Common Multiple (LCM) of 58446 and 58457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58446 and 58457. First we will calculate the prime factors of 58446 and 58457.

Prime Factorization of 58446

Prime Factorization of 58457

Now multiplying the highest exponent prime factors to calculate the LCM of 58446 and 58457.

LCM(58446,58457) = 2¹ × 3² × 17¹ × 191¹ × 7² × 1193¹
LCM(58446,58457) = 3416577822