What is the Least Common Multiple of 58608 and 58615?

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 58608 and 58615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58608 and 58615, than apply into the LCM equation.

GCF(58608,58615) = 1
LCM(58608,58615) = ( 58608 × 58615) / 1
LCM(58608,58615) = 3435307920 / 1
LCM(58608,58615) = 3435307920

Least Common Multiple (LCM) of 58608 and 58615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58608 and 58615. First we will calculate the prime factors of 58608 and 58615.

Prime Factorization of 58608

Prime Factorization of 58615

Now multiplying the highest exponent prime factors to calculate the LCM of 58608 and 58615.

LCM(58608,58615) = 2⁴ × 3² × 11¹ × 37¹ × 5¹ × 19¹ × 617¹
LCM(58608,58615) = 3435307920