What is the Least Common Multiple of 87476 and 87493?

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 of 87476 and 87493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87476 and 87493, than apply into the LCM equation.

GCF(87476,87493) = 1
LCM(87476,87493) = ( 87476 × 87493) / 1
LCM(87476,87493) = 7653537668 / 1
LCM(87476,87493) = 7653537668

Least Common Multiple (LCM) of 87476 and 87493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87476 and 87493. First we will calculate the prime factors of 87476 and 87493.

Prime Factorization of 87476

Prime Factorization of 87493

Now multiplying the highest exponent prime factors to calculate the LCM of 87476 and 87493.

LCM(87476,87493) = 2² × 19¹ × 1151¹ × 7¹ × 29¹ × 431¹
LCM(87476,87493) = 7653537668