What is the Least Common Multiple of 29750 and 29768?

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 29750 and 29768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29750 and 29768, than apply into the LCM equation.

GCF(29750,29768) = 2
LCM(29750,29768) = ( 29750 × 29768) / 2
LCM(29750,29768) = 885598000 / 2
LCM(29750,29768) = 442799000

Least Common Multiple (LCM) of 29750 and 29768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29750 and 29768. First we will calculate the prime factors of 29750 and 29768.

Prime Factorization of 29750

Prime Factorization of 29768

Now multiplying the highest exponent prime factors to calculate the LCM of 29750 and 29768.

LCM(29750,29768) = 2³ × 5³ × 7¹ × 17¹ × 61²
LCM(29750,29768) = 442799000