What is the Least Common Multiple of 52669 and 52683?

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 52669 and 52683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52669 and 52683, than apply into the LCM equation.

GCF(52669,52683) = 1
LCM(52669,52683) = ( 52669 × 52683) / 1
LCM(52669,52683) = 2774760927 / 1
LCM(52669,52683) = 2774760927

Least Common Multiple (LCM) of 52669 and 52683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52669 and 52683. First we will calculate the prime factors of 52669 and 52683.

Prime Factorization of 52669

Prime Factorization of 52683

Now multiplying the highest exponent prime factors to calculate the LCM of 52669 and 52683.

LCM(52669,52683) = 31¹ × 1699¹ × 3¹ × 17¹ × 1033¹
LCM(52669,52683) = 2774760927