GCF and LCM Calculator Logo

What is the Least Common Multiple of 89557 and 89577?

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 89557 and 89577 is 8022247389.

LCM(89557,89577) = 8022247389

LCM Calculator and
and

Least Common Multiple of 89557 and 89577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89557 and 89577, than apply into the LCM equation.

GCF(89557,89577) = 1
LCM(89557,89577) = ( 89557 × 89577) / 1
LCM(89557,89577) = 8022247389 / 1
LCM(89557,89577) = 8022247389

Least Common Multiple (LCM) of 89557 and 89577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89557 and 89577. First we will calculate the prime factors of 89557 and 89577.

Prime Factorization of 89557

Prime factors of 89557 are 13, 83. Prime factorization of 89557 in exponential form is:

89557 = 131 × 832

Prime Factorization of 89577

Prime factors of 89577 are 3, 37, 269. Prime factorization of 89577 in exponential form is:

89577 = 32 × 371 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 89557 and 89577.

LCM(89557,89577) = 131 × 832 × 32 × 371 × 2691
LCM(89557,89577) = 8022247389