What is the Least Common Multiple of 62640 and 62645?

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 62640 and 62645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62640 and 62645, than apply into the LCM equation.

GCF(62640,62645) = 5
LCM(62640,62645) = ( 62640 × 62645) / 5
LCM(62640,62645) = 3924082800 / 5
LCM(62640,62645) = 784816560

Least Common Multiple (LCM) of 62640 and 62645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62640 and 62645. First we will calculate the prime factors of 62640 and 62645.

Prime Factorization of 62640

Prime Factorization of 62645

Now multiplying the highest exponent prime factors to calculate the LCM of 62640 and 62645.

LCM(62640,62645) = 2⁴ × 3³ × 5¹ × 29¹ × 11¹ × 17¹ × 67¹
LCM(62640,62645) = 784816560