What is the Least Common Multiple of 58678 and 58682?

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 58678 and 58682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58678 and 58682, than apply into the LCM equation.

GCF(58678,58682) = 2
LCM(58678,58682) = ( 58678 × 58682) / 2
LCM(58678,58682) = 3443342396 / 2
LCM(58678,58682) = 1721671198

Least Common Multiple (LCM) of 58678 and 58682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58678 and 58682. First we will calculate the prime factors of 58678 and 58682.

Prime Factorization of 58678

Prime Factorization of 58682

Now multiplying the highest exponent prime factors to calculate the LCM of 58678 and 58682.

LCM(58678,58682) = 2¹ × 29339¹ × 13¹ × 37¹ × 61¹
LCM(58678,58682) = 1721671198