What is the Least Common Multiple of 85013 and 85033?

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 85013 and 85033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85013 and 85033, than apply into the LCM equation.

GCF(85013,85033) = 1
LCM(85013,85033) = ( 85013 × 85033) / 1
LCM(85013,85033) = 7228910429 / 1
LCM(85013,85033) = 7228910429

Least Common Multiple (LCM) of 85013 and 85033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85013 and 85033. First we will calculate the prime factors of 85013 and 85033.

Prime Factorization of 85013

Prime Factorization of 85033

Now multiplying the highest exponent prime factors to calculate the LCM of 85013 and 85033.

LCM(85013,85033) = 151¹ × 563¹ × 13¹ × 31¹ × 211¹
LCM(85013,85033) = 7228910429