What is the Least Common Multiple of 58446 and 58461?

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 58461 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 58461, than apply into the LCM equation.

GCF(58446,58461) = 3
LCM(58446,58461) = ( 58446 × 58461) / 3
LCM(58446,58461) = 3416811606 / 3
LCM(58446,58461) = 1138937202

Least Common Multiple (LCM) of 58446 and 58461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58446 and 58461. First we will calculate the prime factors of 58446 and 58461.

Prime Factorization of 58446

Prime Factorization of 58461

Now multiplying the highest exponent prime factors to calculate the LCM of 58446 and 58461.

LCM(58446,58461) = 2¹ × 3² × 17¹ × 191¹ × 13¹ × 1499¹
LCM(58446,58461) = 1138937202