What is the Least Common Multiple of 62300 and 62315?

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 62300 and 62315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62300 and 62315, than apply into the LCM equation.

GCF(62300,62315) = 5
LCM(62300,62315) = ( 62300 × 62315) / 5
LCM(62300,62315) = 3882224500 / 5
LCM(62300,62315) = 776444900

Least Common Multiple (LCM) of 62300 and 62315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62300 and 62315. First we will calculate the prime factors of 62300 and 62315.

Prime Factorization of 62300

Prime Factorization of 62315

Now multiplying the highest exponent prime factors to calculate the LCM of 62300 and 62315.

LCM(62300,62315) = 2² × 5² × 7¹ × 89¹ × 11² × 103¹
LCM(62300,62315) = 776444900