What is the Least Common Multiple of 86516 and 86534?

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 86516 and 86534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86516 and 86534, than apply into the LCM equation.

GCF(86516,86534) = 2
LCM(86516,86534) = ( 86516 × 86534) / 2
LCM(86516,86534) = 7486575544 / 2
LCM(86516,86534) = 3743287772

Least Common Multiple (LCM) of 86516 and 86534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86516 and 86534. First we will calculate the prime factors of 86516 and 86534.

Prime Factorization of 86516

Prime Factorization of 86534

Now multiplying the highest exponent prime factors to calculate the LCM of 86516 and 86534.

LCM(86516,86534) = 2² × 43¹ × 503¹ × 7² × 883¹
LCM(86516,86534) = 3743287772