GCF and LCM Calculator Logo

What is the Least Common Multiple of 7535 and 7542?

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 7535 and 7542 is 56828970.

LCM(7535,7542) = 56828970

LCM Calculator and
and

Least Common Multiple of 7535 and 7542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7535 and 7542, than apply into the LCM equation.

GCF(7535,7542) = 1
LCM(7535,7542) = ( 7535 × 7542) / 1
LCM(7535,7542) = 56828970 / 1
LCM(7535,7542) = 56828970

Least Common Multiple (LCM) of 7535 and 7542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7535 and 7542. First we will calculate the prime factors of 7535 and 7542.

Prime Factorization of 7535

Prime factors of 7535 are 5, 11, 137. Prime factorization of 7535 in exponential form is:

7535 = 51 × 111 × 1371

Prime Factorization of 7542

Prime factors of 7542 are 2, 3, 419. Prime factorization of 7542 in exponential form is:

7542 = 21 × 32 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 7535 and 7542.

LCM(7535,7542) = 51 × 111 × 1371 × 21 × 32 × 4191
LCM(7535,7542) = 56828970