GCF and LCM Calculator Logo

What is the Least Common Multiple of 7495 and 7515?

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 7495 and 7515 is 11264985.

LCM(7495,7515) = 11264985

LCM Calculator and
and

Least Common Multiple of 7495 and 7515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7495 and 7515, than apply into the LCM equation.

GCF(7495,7515) = 5
LCM(7495,7515) = ( 7495 × 7515) / 5
LCM(7495,7515) = 56324925 / 5
LCM(7495,7515) = 11264985

Least Common Multiple (LCM) of 7495 and 7515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7495 and 7515. First we will calculate the prime factors of 7495 and 7515.

Prime Factorization of 7495

Prime factors of 7495 are 5, 1499. Prime factorization of 7495 in exponential form is:

7495 = 51 × 14991

Prime Factorization of 7515

Prime factors of 7515 are 3, 5, 167. Prime factorization of 7515 in exponential form is:

7515 = 32 × 51 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 7495 and 7515.

LCM(7495,7515) = 51 × 14991 × 32 × 1671
LCM(7495,7515) = 11264985