What is the Least Common Multiple of 48510 and 48522?

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 48510 and 48522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48510 and 48522, than apply into the LCM equation.

GCF(48510,48522) = 6
LCM(48510,48522) = ( 48510 × 48522) / 6
LCM(48510,48522) = 2353802220 / 6
LCM(48510,48522) = 392300370

Least Common Multiple (LCM) of 48510 and 48522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48510 and 48522. First we will calculate the prime factors of 48510 and 48522.

Prime Factorization of 48510

Prime Factorization of 48522

Now multiplying the highest exponent prime factors to calculate the LCM of 48510 and 48522.

LCM(48510,48522) = 2¹ × 3² × 5¹ × 7² × 11¹ × 8087¹
LCM(48510,48522) = 392300370