What is the Least Common Multiple of 52668 and 52687?

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 52668 and 52687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52668 and 52687, than apply into the LCM equation.

GCF(52668,52687) = 19
LCM(52668,52687) = ( 52668 × 52687) / 19
LCM(52668,52687) = 2774918916 / 19
LCM(52668,52687) = 146048364

Least Common Multiple (LCM) of 52668 and 52687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52668 and 52687. First we will calculate the prime factors of 52668 and 52687.

Prime Factorization of 52668

Prime Factorization of 52687

Now multiplying the highest exponent prime factors to calculate the LCM of 52668 and 52687.

LCM(52668,52687) = 2² × 3² × 7¹ × 11¹ × 19¹ × 47¹ × 59¹
LCM(52668,52687) = 146048364