What is the Least Common Multiple of 62280 and 62294?

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 62294 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 62294, than apply into the LCM equation.

GCF(62280,62294) = 2
LCM(62280,62294) = ( 62280 × 62294) / 2
LCM(62280,62294) = 3879670320 / 2
LCM(62280,62294) = 1939835160

Least Common Multiple (LCM) of 62280 and 62294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62280 and 62294. First we will calculate the prime factors of 62280 and 62294.

Prime Factorization of 62280

Prime Factorization of 62294

Now multiplying the highest exponent prime factors to calculate the LCM of 62280 and 62294.

LCM(62280,62294) = 2³ × 3² × 5¹ × 173¹ × 31147¹
LCM(62280,62294) = 1939835160