What is the Least Common Multiple of 48516 and 48534?

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 48516 and 48534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48516 and 48534, than apply into the LCM equation.

GCF(48516,48534) = 6
LCM(48516,48534) = ( 48516 × 48534) / 6
LCM(48516,48534) = 2354675544 / 6
LCM(48516,48534) = 392445924

Least Common Multiple (LCM) of 48516 and 48534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48516 and 48534. First we will calculate the prime factors of 48516 and 48534.

Prime Factorization of 48516

Prime Factorization of 48534

Now multiplying the highest exponent prime factors to calculate the LCM of 48516 and 48534.

LCM(48516,48534) = 2² × 3¹ × 13¹ × 311¹ × 8089¹
LCM(48516,48534) = 392445924