What is the Least Common Multiple of 85290 and 85303?

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 85290 and 85303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85290 and 85303, than apply into the LCM equation.

GCF(85290,85303) = 1
LCM(85290,85303) = ( 85290 × 85303) / 1
LCM(85290,85303) = 7275492870 / 1
LCM(85290,85303) = 7275492870

Least Common Multiple (LCM) of 85290 and 85303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85290 and 85303. First we will calculate the prime factors of 85290 and 85303.

Prime Factorization of 85290

Prime Factorization of 85303

Now multiplying the highest exponent prime factors to calculate the LCM of 85290 and 85303.

LCM(85290,85303) = 2¹ × 3¹ × 5¹ × 2843¹ × 85303¹
LCM(85290,85303) = 7275492870