What is the Least Common Multiple of 29046 and 29050?

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 29046 and 29050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29046 and 29050, than apply into the LCM equation.

GCF(29046,29050) = 2
LCM(29046,29050) = ( 29046 × 29050) / 2
LCM(29046,29050) = 843786300 / 2
LCM(29046,29050) = 421893150

Least Common Multiple (LCM) of 29046 and 29050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29046 and 29050. First we will calculate the prime factors of 29046 and 29050.

Prime Factorization of 29046

Prime Factorization of 29050

Now multiplying the highest exponent prime factors to calculate the LCM of 29046 and 29050.

LCM(29046,29050) = 2¹ × 3¹ × 47¹ × 103¹ × 5² × 7¹ × 83¹
LCM(29046,29050) = 421893150