GCF and LCM Calculator Logo

What is the Least Common Multiple of 7499 and 7505?

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 7499 and 7505 is 56279995.

LCM(7499,7505) = 56279995

LCM Calculator and
and

Least Common Multiple of 7499 and 7505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7499 and 7505, than apply into the LCM equation.

GCF(7499,7505) = 1
LCM(7499,7505) = ( 7499 × 7505) / 1
LCM(7499,7505) = 56279995 / 1
LCM(7499,7505) = 56279995

Least Common Multiple (LCM) of 7499 and 7505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7499 and 7505. First we will calculate the prime factors of 7499 and 7505.

Prime Factorization of 7499

Prime factors of 7499 are 7499. Prime factorization of 7499 in exponential form is:

7499 = 74991

Prime Factorization of 7505

Prime factors of 7505 are 5, 19, 79. Prime factorization of 7505 in exponential form is:

7505 = 51 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 7499 and 7505.

LCM(7499,7505) = 74991 × 51 × 191 × 791
LCM(7499,7505) = 56279995