What is the Least Common Multiple of 62258 and 62274?

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 62258 and 62274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62258 and 62274, than apply into the LCM equation.

GCF(62258,62274) = 2
LCM(62258,62274) = ( 62258 × 62274) / 2
LCM(62258,62274) = 3877054692 / 2
LCM(62258,62274) = 1938527346

Least Common Multiple (LCM) of 62258 and 62274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62258 and 62274. First we will calculate the prime factors of 62258 and 62274.

Prime Factorization of 62258

Prime Factorization of 62274

Now multiplying the highest exponent prime factors to calculate the LCM of 62258 and 62274.

LCM(62258,62274) = 2¹ × 7¹ × 4447¹ × 3¹ × 97¹ × 107¹
LCM(62258,62274) = 1938527346