What is the Least Common Multiple of 38905 and 38919?

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 38905 and 38919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38905 and 38919, than apply into the LCM equation.

GCF(38905,38919) = 1
LCM(38905,38919) = ( 38905 × 38919) / 1
LCM(38905,38919) = 1514143695 / 1
LCM(38905,38919) = 1514143695

Least Common Multiple (LCM) of 38905 and 38919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38905 and 38919. First we will calculate the prime factors of 38905 and 38919.

Prime Factorization of 38905

Prime Factorization of 38919

Now multiplying the highest exponent prime factors to calculate the LCM of 38905 and 38919.

LCM(38905,38919) = 5¹ × 31¹ × 251¹ × 3¹ × 12973¹
LCM(38905,38919) = 1514143695