What is the Least Common Multiple of 34015 and 34033?

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 34015 and 34033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34015 and 34033, than apply into the LCM equation.

GCF(34015,34033) = 1
LCM(34015,34033) = ( 34015 × 34033) / 1
LCM(34015,34033) = 1157632495 / 1
LCM(34015,34033) = 1157632495

Least Common Multiple (LCM) of 34015 and 34033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34015 and 34033. First we will calculate the prime factors of 34015 and 34033.

Prime Factorization of 34015

Prime Factorization of 34033

Now multiplying the highest exponent prime factors to calculate the LCM of 34015 and 34033.

LCM(34015,34033) = 5¹ × 6803¹ × 34033¹
LCM(34015,34033) = 1157632495