What is the Least Common Multiple of 58446 and 58451?

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 58451 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 58451, than apply into the LCM equation.

GCF(58446,58451) = 1
LCM(58446,58451) = ( 58446 × 58451) / 1
LCM(58446,58451) = 3416227146 / 1
LCM(58446,58451) = 3416227146

Least Common Multiple (LCM) of 58446 and 58451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58446 and 58451. First we will calculate the prime factors of 58446 and 58451.

Prime Factorization of 58446

Prime Factorization of 58451

Now multiplying the highest exponent prime factors to calculate the LCM of 58446 and 58451.

LCM(58446,58451) = 2¹ × 3² × 17¹ × 191¹ × 58451¹
LCM(58446,58451) = 3416227146