What is the Least Common Multiple of 62272 and 62287?

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 62272 and 62287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62272 and 62287, than apply into the LCM equation.

GCF(62272,62287) = 1
LCM(62272,62287) = ( 62272 × 62287) / 1
LCM(62272,62287) = 3878736064 / 1
LCM(62272,62287) = 3878736064

Least Common Multiple (LCM) of 62272 and 62287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62272 and 62287. First we will calculate the prime factors of 62272 and 62287.

Prime Factorization of 62272

Prime Factorization of 62287

Now multiplying the highest exponent prime factors to calculate the LCM of 62272 and 62287.

LCM(62272,62287) = 2⁶ × 7¹ × 139¹ × 199¹ × 313¹
LCM(62272,62287) = 3878736064