What is the Least Common Multiple of 80520 and 80534?

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 80534 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 80534, than apply into the LCM equation.

GCF(80520,80534) = 2
LCM(80520,80534) = ( 80520 × 80534) / 2
LCM(80520,80534) = 6484597680 / 2
LCM(80520,80534) = 3242298840

Least Common Multiple (LCM) of 80520 and 80534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80520 and 80534. First we will calculate the prime factors of 80520 and 80534.

Prime Factorization of 80520

Prime Factorization of 80534

Now multiplying the highest exponent prime factors to calculate the LCM of 80520 and 80534.

LCM(80520,80534) = 2³ × 3¹ × 5¹ × 11¹ × 61¹ × 67¹ × 601¹
LCM(80520,80534) = 3242298840