What is the Least Common Multiple of 29900 and 29919?

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 29900 and 29919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29900 and 29919, than apply into the LCM equation.

GCF(29900,29919) = 1
LCM(29900,29919) = ( 29900 × 29919) / 1
LCM(29900,29919) = 894578100 / 1
LCM(29900,29919) = 894578100

Least Common Multiple (LCM) of 29900 and 29919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29900 and 29919. First we will calculate the prime factors of 29900 and 29919.

Prime Factorization of 29900

Prime Factorization of 29919

Now multiplying the highest exponent prime factors to calculate the LCM of 29900 and 29919.

LCM(29900,29919) = 2² × 5² × 13¹ × 23¹ × 3¹ × 9973¹
LCM(29900,29919) = 894578100