What is the Least Common Multiple of 52611 and 52631?

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 52611 and 52631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52611 and 52631, than apply into the LCM equation.

GCF(52611,52631) = 1
LCM(52611,52631) = ( 52611 × 52631) / 1
LCM(52611,52631) = 2768969541 / 1
LCM(52611,52631) = 2768969541

Least Common Multiple (LCM) of 52611 and 52631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52611 and 52631. First we will calculate the prime factors of 52611 and 52631.

Prime Factorization of 52611

Prime Factorization of 52631

Now multiplying the highest exponent prime factors to calculate the LCM of 52611 and 52631.

LCM(52611,52631) = 3¹ × 13¹ × 19¹ × 71¹ × 52631¹
LCM(52611,52631) = 2768969541