What is the Least Common Multiple of 68374 and 68383?

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 68374 and 68383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68374 and 68383, than apply into the LCM equation.

GCF(68374,68383) = 1
LCM(68374,68383) = ( 68374 × 68383) / 1
LCM(68374,68383) = 4675619242 / 1
LCM(68374,68383) = 4675619242

Least Common Multiple (LCM) of 68374 and 68383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68374 and 68383. First we will calculate the prime factors of 68374 and 68383.

Prime Factorization of 68374

Prime Factorization of 68383

Now multiplying the highest exponent prime factors to calculate the LCM of 68374 and 68383.

LCM(68374,68383) = 2¹ × 17¹ × 2011¹ × 7¹ × 9769¹
LCM(68374,68383) = 4675619242