GCF and LCM Calculator Logo

What is the Least Common Multiple of 87466 and 87476?

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 87466 and 87476 is 3825587908.

LCM(87466,87476) = 3825587908

LCM Calculator and
and

Least Common Multiple of 87466 and 87476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87466 and 87476, than apply into the LCM equation.

GCF(87466,87476) = 2
LCM(87466,87476) = ( 87466 × 87476) / 2
LCM(87466,87476) = 7651175816 / 2
LCM(87466,87476) = 3825587908

Least Common Multiple (LCM) of 87466 and 87476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87466 and 87476. First we will calculate the prime factors of 87466 and 87476.

Prime Factorization of 87466

Prime factors of 87466 are 2, 101, 433. Prime factorization of 87466 in exponential form is:

87466 = 21 × 1011 × 4331

Prime Factorization of 87476

Prime factors of 87476 are 2, 19, 1151. Prime factorization of 87476 in exponential form is:

87476 = 22 × 191 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 87466 and 87476.

LCM(87466,87476) = 22 × 1011 × 4331 × 191 × 11511
LCM(87466,87476) = 3825587908