What is the Least Common Multiple of 86740 and 86752?

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 86740 and 86752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86740 and 86752, than apply into the LCM equation.

GCF(86740,86752) = 4
LCM(86740,86752) = ( 86740 × 86752) / 4
LCM(86740,86752) = 7524868480 / 4
LCM(86740,86752) = 1881217120

Least Common Multiple (LCM) of 86740 and 86752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86740 and 86752. First we will calculate the prime factors of 86740 and 86752.

Prime Factorization of 86740

Prime Factorization of 86752

Now multiplying the highest exponent prime factors to calculate the LCM of 86740 and 86752.

LCM(86740,86752) = 2⁵ × 5¹ × 4337¹ × 2711¹
LCM(86740,86752) = 1881217120