What is the Least Common Multiple of 68562 and 68575?

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 68562 and 68575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68562 and 68575, than apply into the LCM equation.

GCF(68562,68575) = 13
LCM(68562,68575) = ( 68562 × 68575) / 13
LCM(68562,68575) = 4701639150 / 13
LCM(68562,68575) = 361664550

Least Common Multiple (LCM) of 68562 and 68575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68562 and 68575. First we will calculate the prime factors of 68562 and 68575.

Prime Factorization of 68562

Prime Factorization of 68575

Now multiplying the highest exponent prime factors to calculate the LCM of 68562 and 68575.

LCM(68562,68575) = 2¹ × 3² × 13¹ × 293¹ × 5² × 211¹
LCM(68562,68575) = 361664550