GCF and LCM Calculator Logo

What is the Least Common Multiple of 52372 and 52387?

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 52372 and 52387 is 2743611964.

LCM(52372,52387) = 2743611964

LCM Calculator and
and

Least Common Multiple of 52372 and 52387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52372 and 52387, than apply into the LCM equation.

GCF(52372,52387) = 1
LCM(52372,52387) = ( 52372 × 52387) / 1
LCM(52372,52387) = 2743611964 / 1
LCM(52372,52387) = 2743611964

Least Common Multiple (LCM) of 52372 and 52387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52372 and 52387. First we will calculate the prime factors of 52372 and 52387.

Prime Factorization of 52372

Prime factors of 52372 are 2, 13093. Prime factorization of 52372 in exponential form is:

52372 = 22 × 130931

Prime Factorization of 52387

Prime factors of 52387 are 52387. Prime factorization of 52387 in exponential form is:

52387 = 523871

Now multiplying the highest exponent prime factors to calculate the LCM of 52372 and 52387.

LCM(52372,52387) = 22 × 130931 × 523871
LCM(52372,52387) = 2743611964