What is the Least Common Multiple of 62608 and 62615?

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 62608 and 62615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62608 and 62615, than apply into the LCM equation.

GCF(62608,62615) = 7
LCM(62608,62615) = ( 62608 × 62615) / 7
LCM(62608,62615) = 3920199920 / 7
LCM(62608,62615) = 560028560

Least Common Multiple (LCM) of 62608 and 62615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62608 and 62615. First we will calculate the prime factors of 62608 and 62615.

Prime Factorization of 62608

Prime Factorization of 62615

Now multiplying the highest exponent prime factors to calculate the LCM of 62608 and 62615.

LCM(62608,62615) = 2⁴ × 7¹ × 13¹ × 43¹ × 5¹ × 1789¹
LCM(62608,62615) = 560028560