GCF and LCM Calculator Logo

What is the Least Common Multiple of 4608 and 4615?

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 (LCM) of 4608 and 4615 is 21265920.

LCM(4608,4615) = 21265920

LCM Calculator and
and

Least Common Multiple of 4608 and 4615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4608 and 4615, than apply into the LCM equation.

GCF(4608,4615) = 1
LCM(4608,4615) = ( 4608 × 4615) / 1
LCM(4608,4615) = 21265920 / 1
LCM(4608,4615) = 21265920

Least Common Multiple (LCM) of 4608 and 4615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4615. First we will calculate the prime factors of 4608 and 4615.

Prime Factorization of 4608

Prime factors of 4608 are 2, 3. Prime factorization of 4608 in exponential form is:

4608 = 29 × 32

Prime Factorization of 4615

Prime factors of 4615 are 5, 13, 71. Prime factorization of 4615 in exponential form is:

4615 = 51 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4615.

LCM(4608,4615) = 29 × 32 × 51 × 131 × 711
LCM(4608,4615) = 21265920