What is the Least Common Multiple of 86140 and 86152?

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 86140 and 86152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86140 and 86152, than apply into the LCM equation.

GCF(86140,86152) = 4
LCM(86140,86152) = ( 86140 × 86152) / 4
LCM(86140,86152) = 7421133280 / 4
LCM(86140,86152) = 1855283320

Least Common Multiple (LCM) of 86140 and 86152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86140 and 86152. First we will calculate the prime factors of 86140 and 86152.

Prime Factorization of 86140

Prime Factorization of 86152

Now multiplying the highest exponent prime factors to calculate the LCM of 86140 and 86152.

LCM(86140,86152) = 2³ × 5¹ × 59¹ × 73¹ × 11² × 89¹
LCM(86140,86152) = 1855283320