What is the Least Common Multiple of 62608 and 62621?

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 62621 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 62621, than apply into the LCM equation.

GCF(62608,62621) = 13
LCM(62608,62621) = ( 62608 × 62621) / 13
LCM(62608,62621) = 3920575568 / 13
LCM(62608,62621) = 301582736

Least Common Multiple (LCM) of 62608 and 62621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62608 and 62621. First we will calculate the prime factors of 62608 and 62621.

Prime Factorization of 62608

Prime Factorization of 62621

Now multiplying the highest exponent prime factors to calculate the LCM of 62608 and 62621.

LCM(62608,62621) = 2⁴ × 7¹ × 13¹ × 43¹ × 4817¹
LCM(62608,62621) = 301582736