GCF and LCM Calculator Logo

What is the Least Common Multiple of 59377 and 59390?

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 59377 and 59390 is 3526400030.

LCM(59377,59390) = 3526400030

LCM Calculator and
and

Least Common Multiple of 59377 and 59390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59377 and 59390, than apply into the LCM equation.

GCF(59377,59390) = 1
LCM(59377,59390) = ( 59377 × 59390) / 1
LCM(59377,59390) = 3526400030 / 1
LCM(59377,59390) = 3526400030

Least Common Multiple (LCM) of 59377 and 59390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59377 and 59390. First we will calculate the prime factors of 59377 and 59390.

Prime Factorization of 59377

Prime factors of 59377 are 59377. Prime factorization of 59377 in exponential form is:

59377 = 593771

Prime Factorization of 59390

Prime factors of 59390 are 2, 5, 5939. Prime factorization of 59390 in exponential form is:

59390 = 21 × 51 × 59391

Now multiplying the highest exponent prime factors to calculate the LCM of 59377 and 59390.

LCM(59377,59390) = 593771 × 21 × 51 × 59391
LCM(59377,59390) = 3526400030