GCF and LCM Calculator Logo

What is the Least Common Multiple of 40527 and 40532?

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 40527 and 40532 is 1642640364.

LCM(40527,40532) = 1642640364

LCM Calculator and
and

Least Common Multiple of 40527 and 40532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40527 and 40532, than apply into the LCM equation.

GCF(40527,40532) = 1
LCM(40527,40532) = ( 40527 × 40532) / 1
LCM(40527,40532) = 1642640364 / 1
LCM(40527,40532) = 1642640364

Least Common Multiple (LCM) of 40527 and 40532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40527 and 40532. First we will calculate the prime factors of 40527 and 40532.

Prime Factorization of 40527

Prime factors of 40527 are 3, 19, 79. Prime factorization of 40527 in exponential form is:

40527 = 33 × 191 × 791

Prime Factorization of 40532

Prime factors of 40532 are 2, 10133. Prime factorization of 40532 in exponential form is:

40532 = 22 × 101331

Now multiplying the highest exponent prime factors to calculate the LCM of 40527 and 40532.

LCM(40527,40532) = 33 × 191 × 791 × 22 × 101331
LCM(40527,40532) = 1642640364