What is the Least Common Multiple of 87114 and 87134?

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 87114 and 87134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87114 and 87134, than apply into the LCM equation.

GCF(87114,87134) = 2
LCM(87114,87134) = ( 87114 × 87134) / 2
LCM(87114,87134) = 7590591276 / 2
LCM(87114,87134) = 3795295638

Least Common Multiple (LCM) of 87114 and 87134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87114 and 87134. First we will calculate the prime factors of 87114 and 87134.

Prime Factorization of 87114

Prime Factorization of 87134

Now multiplying the highest exponent prime factors to calculate the LCM of 87114 and 87134.

LCM(87114,87134) = 2¹ × 3¹ × 14519¹ × 19¹ × 2293¹
LCM(87114,87134) = 3795295638