What is the Least Common Multiple of 68520 and 68535?

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 68520 and 68535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68520 and 68535, than apply into the LCM equation.

GCF(68520,68535) = 15
LCM(68520,68535) = ( 68520 × 68535) / 15
LCM(68520,68535) = 4696018200 / 15
LCM(68520,68535) = 313067880

Least Common Multiple (LCM) of 68520 and 68535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68520 and 68535. First we will calculate the prime factors of 68520 and 68535.

Prime Factorization of 68520

Prime Factorization of 68535

Now multiplying the highest exponent prime factors to calculate the LCM of 68520 and 68535.

LCM(68520,68535) = 2³ × 3² × 5¹ × 571¹ × 1523¹
LCM(68520,68535) = 313067880