What is the Least Common Multiple of 70185 and 70203?

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 70185 and 70203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70185 and 70203, than apply into the LCM equation.

GCF(70185,70203) = 3
LCM(70185,70203) = ( 70185 × 70203) / 3
LCM(70185,70203) = 4927197555 / 3
LCM(70185,70203) = 1642399185

Least Common Multiple (LCM) of 70185 and 70203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70185 and 70203. First we will calculate the prime factors of 70185 and 70203.

Prime Factorization of 70185

Prime Factorization of 70203

Now multiplying the highest exponent prime factors to calculate the LCM of 70185 and 70203.

LCM(70185,70203) = 3¹ × 5¹ × 4679¹ × 7¹ × 3343¹
LCM(70185,70203) = 1642399185