What is the Least Common Multiple of 48608 and 48615?

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 48608 and 48615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48608 and 48615, than apply into the LCM equation.

GCF(48608,48615) = 7
LCM(48608,48615) = ( 48608 × 48615) / 7
LCM(48608,48615) = 2363077920 / 7
LCM(48608,48615) = 337582560

Least Common Multiple (LCM) of 48608 and 48615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48608 and 48615. First we will calculate the prime factors of 48608 and 48615.

Prime Factorization of 48608

Prime Factorization of 48615

Now multiplying the highest exponent prime factors to calculate the LCM of 48608 and 48615.

LCM(48608,48615) = 2⁵ × 7² × 31¹ × 3¹ × 5¹ × 463¹
LCM(48608,48615) = 337582560