What is the Least Common Multiple of 71978 and 71983?

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 71978 and 71983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71978 and 71983, than apply into the LCM equation.

GCF(71978,71983) = 1
LCM(71978,71983) = ( 71978 × 71983) / 1
LCM(71978,71983) = 5181192374 / 1
LCM(71978,71983) = 5181192374

Least Common Multiple (LCM) of 71978 and 71983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71978 and 71983. First we will calculate the prime factors of 71978 and 71983.

Prime Factorization of 71978

Prime Factorization of 71983

Now multiplying the highest exponent prime factors to calculate the LCM of 71978 and 71983.

LCM(71978,71983) = 2¹ × 17¹ × 29¹ × 73¹ × 71983¹
LCM(71978,71983) = 5181192374