What is the Least Common Multiple of 62832 and 62849?

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 62832 and 62849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62832 and 62849, than apply into the LCM equation.

GCF(62832,62849) = 17
LCM(62832,62849) = ( 62832 × 62849) / 17
LCM(62832,62849) = 3948928368 / 17
LCM(62832,62849) = 232289904

Least Common Multiple (LCM) of 62832 and 62849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62832 and 62849. First we will calculate the prime factors of 62832 and 62849.

Prime Factorization of 62832

Prime Factorization of 62849

Now multiplying the highest exponent prime factors to calculate the LCM of 62832 and 62849.

LCM(62832,62849) = 2⁴ × 3¹ × 7¹ × 11¹ × 17¹ × 3697¹
LCM(62832,62849) = 232289904