What is the Least Common Multiple of 38420 and 38437?

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 38420 and 38437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38420 and 38437, than apply into the LCM equation.

GCF(38420,38437) = 17
LCM(38420,38437) = ( 38420 × 38437) / 17
LCM(38420,38437) = 1476749540 / 17
LCM(38420,38437) = 86867620

Least Common Multiple (LCM) of 38420 and 38437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38420 and 38437. First we will calculate the prime factors of 38420 and 38437.

Prime Factorization of 38420

Prime Factorization of 38437

Now multiplying the highest exponent prime factors to calculate the LCM of 38420 and 38437.

LCM(38420,38437) = 2² × 5¹ × 17² × 113¹ × 7¹ × 19¹
LCM(38420,38437) = 86867620