What is the Least Common Multiple of 62533 and 62551?

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 62533 and 62551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62533 and 62551, than apply into the LCM equation.

GCF(62533,62551) = 1
LCM(62533,62551) = ( 62533 × 62551) / 1
LCM(62533,62551) = 3911501683 / 1
LCM(62533,62551) = 3911501683

Least Common Multiple (LCM) of 62533 and 62551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62533 and 62551. First we will calculate the prime factors of 62533 and 62551.

Prime Factorization of 62533

Prime Factorization of 62551

Now multiplying the highest exponent prime factors to calculate the LCM of 62533 and 62551.

LCM(62533,62551) = 62533¹ × 71¹ × 881¹
LCM(62533,62551) = 3911501683