What is the Least Common Multiple of 62133 and 62140?

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 62133 and 62140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62133 and 62140, than apply into the LCM equation.

GCF(62133,62140) = 1
LCM(62133,62140) = ( 62133 × 62140) / 1
LCM(62133,62140) = 3860944620 / 1
LCM(62133,62140) = 3860944620

Least Common Multiple (LCM) of 62133 and 62140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62133 and 62140. First we will calculate the prime factors of 62133 and 62140.

Prime Factorization of 62133

Prime Factorization of 62140

Now multiplying the highest exponent prime factors to calculate the LCM of 62133 and 62140.

LCM(62133,62140) = 3¹ × 139¹ × 149¹ × 2² × 5¹ × 13¹ × 239¹
LCM(62133,62140) = 3860944620