GCF and LCM Calculator Logo

What is the Least Common Multiple of 7435 and 7442?

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 7435 and 7442 is 55331270.

LCM(7435,7442) = 55331270

LCM Calculator and
and

Least Common Multiple of 7435 and 7442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7435 and 7442, than apply into the LCM equation.

GCF(7435,7442) = 1
LCM(7435,7442) = ( 7435 × 7442) / 1
LCM(7435,7442) = 55331270 / 1
LCM(7435,7442) = 55331270

Least Common Multiple (LCM) of 7435 and 7442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7435 and 7442. First we will calculate the prime factors of 7435 and 7442.

Prime Factorization of 7435

Prime factors of 7435 are 5, 1487. Prime factorization of 7435 in exponential form is:

7435 = 51 × 14871

Prime Factorization of 7442

Prime factors of 7442 are 2, 61. Prime factorization of 7442 in exponential form is:

7442 = 21 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 7435 and 7442.

LCM(7435,7442) = 51 × 14871 × 21 × 612
LCM(7435,7442) = 55331270