What is the Least Common Multiple of 62910 and 62923?

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 62910 and 62923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62910 and 62923, than apply into the LCM equation.

GCF(62910,62923) = 1
LCM(62910,62923) = ( 62910 × 62923) / 1
LCM(62910,62923) = 3958485930 / 1
LCM(62910,62923) = 3958485930

Least Common Multiple (LCM) of 62910 and 62923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62910 and 62923. First we will calculate the prime factors of 62910 and 62923.

Prime Factorization of 62910

Prime Factorization of 62923

Now multiplying the highest exponent prime factors to calculate the LCM of 62910 and 62923.

LCM(62910,62923) = 2¹ × 3³ × 5¹ × 233¹ × 7¹ × 89¹ × 101¹
LCM(62910,62923) = 3958485930