What is the Least Common Multiple of 45422 and 45437?

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 45422 and 45437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45422 and 45437, than apply into the LCM equation.

GCF(45422,45437) = 1
LCM(45422,45437) = ( 45422 × 45437) / 1
LCM(45422,45437) = 2063839414 / 1
LCM(45422,45437) = 2063839414

Least Common Multiple (LCM) of 45422 and 45437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45422 and 45437. First we will calculate the prime factors of 45422 and 45437.

Prime Factorization of 45422

Prime Factorization of 45437

Now multiplying the highest exponent prime factors to calculate the LCM of 45422 and 45437.

LCM(45422,45437) = 2¹ × 13¹ × 1747¹ × 7¹ × 6491¹
LCM(45422,45437) = 2063839414