What is the Least Common Multiple of 48520 and 48538?

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 48520 and 48538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48520 and 48538, than apply into the LCM equation.

GCF(48520,48538) = 2
LCM(48520,48538) = ( 48520 × 48538) / 2
LCM(48520,48538) = 2355063760 / 2
LCM(48520,48538) = 1177531880

Least Common Multiple (LCM) of 48520 and 48538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48520 and 48538. First we will calculate the prime factors of 48520 and 48538.

Prime Factorization of 48520

Prime Factorization of 48538

Now multiplying the highest exponent prime factors to calculate the LCM of 48520 and 48538.

LCM(48520,48538) = 2³ × 5¹ × 1213¹ × 7¹ × 3467¹
LCM(48520,48538) = 1177531880