What is the Least Common Multiple of 31419 and 31437?

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 31419 and 31437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31419 and 31437, than apply into the LCM equation.

GCF(31419,31437) = 9
LCM(31419,31437) = ( 31419 × 31437) / 9
LCM(31419,31437) = 987719103 / 9
LCM(31419,31437) = 109746567

Least Common Multiple (LCM) of 31419 and 31437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31419 and 31437. First we will calculate the prime factors of 31419 and 31437.

Prime Factorization of 31419

Prime Factorization of 31437

Now multiplying the highest exponent prime factors to calculate the LCM of 31419 and 31437.

LCM(31419,31437) = 3² × 3491¹ × 7¹ × 499¹
LCM(31419,31437) = 109746567