What is the Least Common Multiple of 52452 and 52458?

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 52452 and 52458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52452 and 52458, than apply into the LCM equation.

GCF(52452,52458) = 6
LCM(52452,52458) = ( 52452 × 52458) / 6
LCM(52452,52458) = 2751527016 / 6
LCM(52452,52458) = 458587836

Least Common Multiple (LCM) of 52452 and 52458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52452 and 52458. First we will calculate the prime factors of 52452 and 52458.

Prime Factorization of 52452

Prime Factorization of 52458

Now multiplying the highest exponent prime factors to calculate the LCM of 52452 and 52458.

LCM(52452,52458) = 2² × 3² × 31¹ × 47¹ × 7¹ × 1249¹
LCM(52452,52458) = 458587836