What is the Least Common Multiple of 58149 and 58156?

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 58149 and 58156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58149 and 58156, than apply into the LCM equation.

GCF(58149,58156) = 7
LCM(58149,58156) = ( 58149 × 58156) / 7
LCM(58149,58156) = 3381713244 / 7
LCM(58149,58156) = 483101892

Least Common Multiple (LCM) of 58149 and 58156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58149 and 58156. First we will calculate the prime factors of 58149 and 58156.

Prime Factorization of 58149

Prime Factorization of 58156

Now multiplying the highest exponent prime factors to calculate the LCM of 58149 and 58156.

LCM(58149,58156) = 3² × 7¹ × 13¹ × 71¹ × 2² × 31¹ × 67¹
LCM(58149,58156) = 483101892