What is the Least Common Multiple of 70083 and 70103?

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 70083 and 70103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70083 and 70103, than apply into the LCM equation.

GCF(70083,70103) = 1
LCM(70083,70103) = ( 70083 × 70103) / 1
LCM(70083,70103) = 4913028549 / 1
LCM(70083,70103) = 4913028549

Least Common Multiple (LCM) of 70083 and 70103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70083 and 70103. First we will calculate the prime factors of 70083 and 70103.

Prime Factorization of 70083

Prime Factorization of 70103

Now multiplying the highest exponent prime factors to calculate the LCM of 70083 and 70103.

LCM(70083,70103) = 3² × 13¹ × 599¹ × 11¹ × 6373¹
LCM(70083,70103) = 4913028549