What is the Least Common Multiple of 87142 and 87153?

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 87142 and 87153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87142 and 87153, than apply into the LCM equation.

GCF(87142,87153) = 11
LCM(87142,87153) = ( 87142 × 87153) / 11
LCM(87142,87153) = 7594686726 / 11
LCM(87142,87153) = 690426066

Least Common Multiple (LCM) of 87142 and 87153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87142 and 87153. First we will calculate the prime factors of 87142 and 87153.

Prime Factorization of 87142

Prime Factorization of 87153

Now multiplying the highest exponent prime factors to calculate the LCM of 87142 and 87153.

LCM(87142,87153) = 2¹ × 11¹ × 17¹ × 233¹ × 3¹ × 19¹ × 139¹
LCM(87142,87153) = 690426066