What is the Least Common Multiple of 52478 and 52497?

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 52478 and 52497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52478 and 52497, than apply into the LCM equation.

GCF(52478,52497) = 19
LCM(52478,52497) = ( 52478 × 52497) / 19
LCM(52478,52497) = 2754937566 / 19
LCM(52478,52497) = 144996714

Least Common Multiple (LCM) of 52478 and 52497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52478 and 52497. First we will calculate the prime factors of 52478 and 52497.

Prime Factorization of 52478

Prime Factorization of 52497

Now multiplying the highest exponent prime factors to calculate the LCM of 52478 and 52497.

LCM(52478,52497) = 2¹ × 19¹ × 1381¹ × 3² × 307¹
LCM(52478,52497) = 144996714