What is the Least Common Multiple of 29562 and 29575?

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 29562 and 29575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29562 and 29575, than apply into the LCM equation.

GCF(29562,29575) = 13
LCM(29562,29575) = ( 29562 × 29575) / 13
LCM(29562,29575) = 874296150 / 13
LCM(29562,29575) = 67253550

Least Common Multiple (LCM) of 29562 and 29575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29562 and 29575. First we will calculate the prime factors of 29562 and 29575.

Prime Factorization of 29562

Prime Factorization of 29575

Now multiplying the highest exponent prime factors to calculate the LCM of 29562 and 29575.

LCM(29562,29575) = 2¹ × 3¹ × 13² × 379¹ × 5² × 7¹
LCM(29562,29575) = 67253550