What is the Least Common Multiple of 62280 and 62286?

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 62280 and 62286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62280 and 62286, than apply into the LCM equation.

GCF(62280,62286) = 6
LCM(62280,62286) = ( 62280 × 62286) / 6
LCM(62280,62286) = 3879172080 / 6
LCM(62280,62286) = 646528680

Least Common Multiple (LCM) of 62280 and 62286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62280 and 62286. First we will calculate the prime factors of 62280 and 62286.

Prime Factorization of 62280

Prime Factorization of 62286

Now multiplying the highest exponent prime factors to calculate the LCM of 62280 and 62286.

LCM(62280,62286) = 2³ × 3² × 5¹ × 173¹ × 7¹ × 1483¹
LCM(62280,62286) = 646528680