GCF and LCM Calculator Logo

What is the Least Common Multiple of 7462 and 7476?

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 7462 and 7476 is 3984708.

LCM(7462,7476) = 3984708

LCM Calculator and
and

Least Common Multiple of 7462 and 7476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7462 and 7476, than apply into the LCM equation.

GCF(7462,7476) = 14
LCM(7462,7476) = ( 7462 × 7476) / 14
LCM(7462,7476) = 55785912 / 14
LCM(7462,7476) = 3984708

Least Common Multiple (LCM) of 7462 and 7476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7476. First we will calculate the prime factors of 7462 and 7476.

Prime Factorization of 7462

Prime factors of 7462 are 2, 7, 13, 41. Prime factorization of 7462 in exponential form is:

7462 = 21 × 71 × 131 × 411

Prime Factorization of 7476

Prime factors of 7476 are 2, 3, 7, 89. Prime factorization of 7476 in exponential form is:

7476 = 22 × 31 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7462 and 7476.

LCM(7462,7476) = 22 × 71 × 131 × 411 × 31 × 891
LCM(7462,7476) = 3984708