What is the Least Common Multiple of 29419 and 29437?

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 29419 and 29437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29419 and 29437, than apply into the LCM equation.

GCF(29419,29437) = 1
LCM(29419,29437) = ( 29419 × 29437) / 1
LCM(29419,29437) = 866007103 / 1
LCM(29419,29437) = 866007103

Least Common Multiple (LCM) of 29419 and 29437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29419 and 29437. First we will calculate the prime factors of 29419 and 29437.

Prime Factorization of 29419

Prime Factorization of 29437

Now multiplying the highest exponent prime factors to calculate the LCM of 29419 and 29437.

LCM(29419,29437) = 13¹ × 31¹ × 73¹ × 29437¹
LCM(29419,29437) = 866007103