GCF and LCM Calculator Logo

What is the Least Common Multiple of 87076 and 87089?

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 87076 and 87089 is 7583361764.

LCM(87076,87089) = 7583361764

LCM Calculator and
and

Least Common Multiple of 87076 and 87089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87076 and 87089, than apply into the LCM equation.

GCF(87076,87089) = 1
LCM(87076,87089) = ( 87076 × 87089) / 1
LCM(87076,87089) = 7583361764 / 1
LCM(87076,87089) = 7583361764

Least Common Multiple (LCM) of 87076 and 87089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87076 and 87089. First we will calculate the prime factors of 87076 and 87089.

Prime Factorization of 87076

Prime factors of 87076 are 2, 11, 1979. Prime factorization of 87076 in exponential form is:

87076 = 22 × 111 × 19791

Prime Factorization of 87089

Prime factors of 87089 are 73, 1193. Prime factorization of 87089 in exponential form is:

87089 = 731 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 87076 and 87089.

LCM(87076,87089) = 22 × 111 × 19791 × 731 × 11931
LCM(87076,87089) = 7583361764