What is the Least Common Multiple of 80700 and 80708?

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 80700 and 80708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80700 and 80708, than apply into the LCM equation.

GCF(80700,80708) = 4
LCM(80700,80708) = ( 80700 × 80708) / 4
LCM(80700,80708) = 6513135600 / 4
LCM(80700,80708) = 1628283900

Least Common Multiple (LCM) of 80700 and 80708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80700 and 80708. First we will calculate the prime factors of 80700 and 80708.

Prime Factorization of 80700

Prime Factorization of 80708

Now multiplying the highest exponent prime factors to calculate the LCM of 80700 and 80708.

LCM(80700,80708) = 2² × 3¹ × 5² × 269¹ × 20177¹
LCM(80700,80708) = 1628283900