What is the Least Common Multiple of 40005 and 40014?

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 40005 and 40014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40005 and 40014, than apply into the LCM equation.

GCF(40005,40014) = 9
LCM(40005,40014) = ( 40005 × 40014) / 9
LCM(40005,40014) = 1600760070 / 9
LCM(40005,40014) = 177862230

Least Common Multiple (LCM) of 40005 and 40014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40005 and 40014. First we will calculate the prime factors of 40005 and 40014.

Prime Factorization of 40005

Prime Factorization of 40014

Now multiplying the highest exponent prime factors to calculate the LCM of 40005 and 40014.

LCM(40005,40014) = 3⁴ × 5¹ × 7¹ × 127¹ × 2¹ × 13¹ × 19¹
LCM(40005,40014) = 177862230