What is the Least Common Multiple of 62280 and 62290?

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 62290 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 62290, than apply into the LCM equation.

GCF(62280,62290) = 10
LCM(62280,62290) = ( 62280 × 62290) / 10
LCM(62280,62290) = 3879421200 / 10
LCM(62280,62290) = 387942120

Least Common Multiple (LCM) of 62280 and 62290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62280 and 62290. First we will calculate the prime factors of 62280 and 62290.

Prime Factorization of 62280

Prime Factorization of 62290

Now multiplying the highest exponent prime factors to calculate the LCM of 62280 and 62290.

LCM(62280,62290) = 2³ × 3² × 5¹ × 173¹ × 6229¹
LCM(62280,62290) = 387942120