What is the Least Common Multiple of 82050 and 82070?

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 82050 and 82070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82050 and 82070, than apply into the LCM equation.

GCF(82050,82070) = 10
LCM(82050,82070) = ( 82050 × 82070) / 10
LCM(82050,82070) = 6733843500 / 10
LCM(82050,82070) = 673384350

Least Common Multiple (LCM) of 82050 and 82070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82050 and 82070. First we will calculate the prime factors of 82050 and 82070.

Prime Factorization of 82050

Prime Factorization of 82070

Now multiplying the highest exponent prime factors to calculate the LCM of 82050 and 82070.

LCM(82050,82070) = 2¹ × 3¹ × 5² × 547¹ × 29¹ × 283¹
LCM(82050,82070) = 673384350