What is the Least Common Multiple of 68013 and 68033?

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 68013 and 68033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68013 and 68033, than apply into the LCM equation.

GCF(68013,68033) = 1
LCM(68013,68033) = ( 68013 × 68033) / 1
LCM(68013,68033) = 4627128429 / 1
LCM(68013,68033) = 4627128429

Least Common Multiple (LCM) of 68013 and 68033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68013 and 68033. First we will calculate the prime factors of 68013 and 68033.

Prime Factorization of 68013

Prime Factorization of 68033

Now multiplying the highest exponent prime factors to calculate the LCM of 68013 and 68033.

LCM(68013,68033) = 3³ × 11¹ × 229¹ × 7¹ × 9719¹
LCM(68013,68033) = 4627128429