What is the Least Common Multiple of 80520 and 80535?

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 80520 and 80535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80520 and 80535, than apply into the LCM equation.

GCF(80520,80535) = 15
LCM(80520,80535) = ( 80520 × 80535) / 15
LCM(80520,80535) = 6484678200 / 15
LCM(80520,80535) = 432311880

Least Common Multiple (LCM) of 80520 and 80535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80520 and 80535. First we will calculate the prime factors of 80520 and 80535.

Prime Factorization of 80520

Prime Factorization of 80535

Now multiplying the highest exponent prime factors to calculate the LCM of 80520 and 80535.

LCM(80520,80535) = 2³ × 3¹ × 5¹ × 11¹ × 61¹ × 7¹ × 13¹ × 59¹
LCM(80520,80535) = 432311880