What is the Least Common Multiple of 62250 and 62258?

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 62250 and 62258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62250 and 62258, than apply into the LCM equation.

GCF(62250,62258) = 2
LCM(62250,62258) = ( 62250 × 62258) / 2
LCM(62250,62258) = 3875560500 / 2
LCM(62250,62258) = 1937780250

Least Common Multiple (LCM) of 62250 and 62258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62250 and 62258. First we will calculate the prime factors of 62250 and 62258.

Prime Factorization of 62250

Prime Factorization of 62258

Now multiplying the highest exponent prime factors to calculate the LCM of 62250 and 62258.

LCM(62250,62258) = 2¹ × 3¹ × 5³ × 83¹ × 7¹ × 4447¹
LCM(62250,62258) = 1937780250